Shivpuri District of Madhya Pradesh at a Glance

About Shivpuri District :

The district is bounded on the North by Morena, Gwalior and Datia districts, on the East by Jhansi district of U.P, on the West by Kota district of Rajasthan and on the South by Guna district. The district headquarter Shivpuri is located on NH-3 (Agra-Bombay National Highway) at a 113 Km from Gwalior and 98 Km from Guna. The district is mostly laid out over small hill tops covered with deciduous forests where the slope is gentle with verdant vegetation and good forests round about, the landscape is generally pleasing.

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Tourist Places :

1. Madhav National Park:-

Madhav National Park lies between Agra-Bombay road and Jhansi-Shivpuri Road. It is spread over an area of 157.58 Sq. Kms. A drive through the park watching animals is very exhilarating experience.The Park is heaven for wildlife and wildlife buffs. The park remains open throughout the year and boasts of large numbers of chinkara, Indian gazelle and chital.
The nilgai, sambar, chausingha, blackbuck, sloth bear, leopard and the common langur are the other inhabitants of the sprawling park. The national park is equally rich in bird life; Chandpata, the artificial lake, is the winter abode of migratory geese, pochard, pintail, teal, mallard and gadwall. Other residents include the cormorant, laggar falcon, paradise flycatcher and golden oriole. Loud cracking notes of whitebrested kingfisher flying past,harsh crocking of grey heron or quacking of spotbill duck and numerous lesser whistling teals resting at the bank of lack with a leg tucked away and head folded back in to the body; and cheetal grazing here or nilgiri browsing there in the forest, add to the charm.The dynamism of the dry deciduous forest at the Park is unbelievable. Soothing lush green, impenetrable vegetation all over during the monsoon wither to desolate brown and Grey in summer, It nevertheless remains full of life Indeed, Madhav National Park is an oasis in the midest of habitation and cultivation.

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2. Tiger Safari:-:-A pair of tigers from Bhopal Van Vihar tigress Tara and Petu – each about 3 years old , were introduced in the Madhav National Park in fenced 140 hectare well preserved pocket, in October 1989. All the cubs of first litter died soon after birth. The second litter of one male and two females in August 1991 fared well. In April 1993 the pair bred for the third time giving birth to 4 female cubs, all in good health. In November 1995, Tara gave birth to 4 more cubs – 2 male and 2 female. Now the total number of tigers in the safari is 12. The Safari provides a good opportunity to visitors to observe the tigers at close range.

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3. Shakya Lake & Boat Club:-Sakhya Sagar and Madhav Sagar, created on Manier river in 1918, are two important bio-diversity support systems in the Park besides several perennial and seasonal streams and nalls. A reptile hideout, Marsh crocodile, Indian Python and monitor lizard are some lakes known occupants at the few yards of entrance of Madhav National Park.
On the shores of the lake and connected to it by a broad pier is a boat club, an airy and delicate structure with glass panels. The boat club is also known as Sailing Club. Just stand by the railing of Sailing Club deck extending in to Sakhya Sagar and watch. The view of massive lake all around and the undulating, forested Vindhyachal hills beyond is mesmerizing. Now a days the boating has been banned keeping in view the safety of lives of tourists.

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4. Chatri(CENOTAPHS):-Shivpuri is famous for graceful,intricately embellished Marble chhatries (cenotaphs) erected by Scindia Princes. Set in an elaborate Mughal Garden, are the cenotaphs, the royal Chhatries dedicated to Scindias.
Facing each other across a water tank are the Chhatries of Madhav Rao Scindia and dowager queen Maharani Sakhya Raje Scindia, in a delighful fusion of Hindu and Islamic architectural styles, with their shikhara – type spires and Rajput and Mughal pavilions. Ceremonially attired retainers, with flowers and incense tend to both cenotaph house life-size images of the Scindias, and these religiously, daily.

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5. Madhav Vilas Palace:-The summer palace of the Scindias, Madhav Vilas Palace, looks intensely alluring, dressed in soft shade of rose-pink.The MAHAL as it is popularly known, is attired with marble floors,elegant terraces and a Ganapati Mandap.
From the turrets, one can get a splendid view of Shivpuri town and Madhav National Park itself. Now this grand palace has converted in to the training center of Intelligence Bureau of Government of India, which is among the few training centers of Intelligence Buearo.

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6. George Castle:-Deep inside the Madhav National Park, at its highest point stands the George Castle built by Jiwaji Rao Scindia. The ideal time to visit the castle is at sunset, when Sakhya Sagar Lake seems to take the radiance and changing hues of the sky. The castle located at the central region of the Park provides a wonderful panoramic view of Sakhya Sagar and the spread of the forest around. It is intrusting to note that the grand George Castle was built by the Gwalior royalty for an overnight halt for tiger shooting by British King Geroge V, while he was to pass that way during his visit to India in 1911. It so happened that King could shoot a tiger on the way itself and did not stop at Madhav National Park.

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Tehri Garhwal District of Uttarakhand at a Glance

About Tehri Garhwal District :

Tehri Garhwal is one of the western most district of the Uttarakhand State located on the outer ranges of the mid Himalayas which comprise low line peaks rising contiguously with the planes of the northern India. The district lies between the parallels of 30.3` and 30.53` north latitude and 77.56` and 79.04` east longitude. Uttarkashi from the north, Rudraprayag from the east, Puri Garhwal from the south and Dehra Dun from the west are bounding the districts. On the western front Yamuna river separates it from Jaunsar Pragana of the Dehra Dun district while Bhagirathi rising from the north of the Gangotri in the district Uttarkashi touches the district near village Nagun. Total area of the district is 4421 sq. kms (Census 1991). The district headquarter is located at New Tehri Town. The places of tourist interests in the districts are Buda Kedar, Devprayag, Khatling Glacier, Narendra Nagar, Sem Mukhem, Chamba, Dhanaulti, Kunjapuri New Tehri, Surkanda Devi, Chandrabadni, Kempty Fall and Nagtibba

District at a Glance :

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Tourist Place :

Buda Kedar :

This temple is situated at the confluence of the Bal Ganga and Dharam Ganga rivers, at a motorable distance of 59 kms. from Tehri. It is believed that Duyodhan offered tarpana here.

According to legends, it is at this temple that the Pandavas encountered Rishi Balkhily at Bhrigu Parvat when they were on the lookout for Shiva after the Kurukshetra battle. The Rishi directed them to the site of the confluence to meet an old manmeditating there. But when the Pandava got there, the old man vanished and instead, a shivling appeared there. Rishi Balkhily instructed the Pandavas to embrace the Shivling in order to free themselves from their sins. Their impressions are stamped on this Shivling – the biggest Shivling in northen India.

Devprayag :

Situated at the confluence of the Alaknanda and the Bhagirathi, the town of Devaprayag lies at an altitude of 472 m. on the metalled road running from Rishikesh to Badrinath and about 87 km. from Narendra Nagar. Near the town there are two suspension bridges, one each on the Bhagirathi and the Alaknanda. The metalled road to Badrinath crosses the former by a third bridge. The town is the headquarters of the tahsil of the same name and is one of the five sacred prayags (confluences) of the Alaknanda. Tradition has it that the town is named after Deosharma, a sage, who led a life of penance here and succeeded in having a glimpse of God.

The great temple of Raghunathji is claimed to have been erected some ten thousand years ago and is built of massive uncemented stones. It stands upon a terrace in the upper part of the town and consists of an irregular pyramid capped by a white cupola with a golden ball and spire. Religious ablutions take place at 2 basins excavated in the rock at the junction of the holy streams – on the Bhagirathi known as the Brahm Kund and the other on the Alaknanda called the Vasisht Kund. The temple, along with the other Buildings of the town, was shattered by an earthquake in 1803 but the damage was subsequently repaired through the munificence of Daulat Rao Sindhia. The temple is visited by a large number of pilgrims every year.

The town is the seat of the pandas of the Badrinath Dham and possesses a post and telegraph office, a public call office, a police out-post, a dak bungalow of the public works department and a hospital.

Besides the temple of Raghunathji, there are in the town Baital Kund,Brahm Kund,Surya Kund and Vasisht Kund; the Indradyumna Tirth,Pushyamal Tirth, Varah Tirth ; Pushpavatika ; Baitalshila and Varahishila ; the shrines of Bhairava, Bhushandi, Durga and Vishveshvara ; and a temple dedicated to Bharata. A bath at Baithalshila is claimed to cure leprosy.

Nearby is the Dasharathachal Peak, containing a rock, known as Dashrathshila, on which Raja Dasharath is said to have led a life of penance.A small stream, the shanta running down from the Dasharathachal, is named after Shanta, the daughter of Raja Dasharath and is considered to be sacred.

Chamba :60 kms. from Mussoorie and 48 kms. from Narendra Nagar on the road to Gangotri. Chamba is a township lying high at an altitude of 1676 mts., offering a splendid view of the snow-capped Himalayas and the serene Bhagirathi valley. Chamba happens to be a focal point, being located at the junction of roads leading from Mussoorie, Rishikesh, Tehri and New Tehri. The Chamba- Mussoorie fruit belt is also famous for its delicious apples. Jal Nigam Rest House, Tourist Rest House, Hotel Akash Deep, Akash Lok, Neelkant, Social Palace & Hotel Classic Hill Top provide comfortable accommodation

 

Pithoragarh District of Uttarakhand at a Glance

About Pithoragarh District :

Pithoragarh District having its entire northern and eastern boundaries being international, assumes a great strategicsignificance and, obviously, is a politically sensitive district along the northern frontier of India. The Pithoragarh town is located at a height of 1645 meters above sea level.The district lies between 29.4° to 30.3° North latitude and 80° to 81° East longitude along the eastern and southern part of the central Himalayas with Indo-Tibbetan watershed divide in the north and the Kali river forming a continuous border with Nepal in the east. The Pithoragarh district is surrounded by the national boundaries of Almora, Champawat, Bageshwar and Chamoli districts and extends over an area of 7,217.7 sq. kms. The district is administratively divided into 11 Tehsils and 8 Blocks. The places of tourist interests in the districts are Chandak, Thal Kedar, Gangolihat famous for its kali temple, Patal Bhuvneshwar, Berinag Tea Garden of Chaukori, Didihat, Munsyari, Dharchula and Jauljibi.

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Tourist Places :

Chandak : Situated 7 Kms away by bus through an uphill climb Chandak constitutes the northern of Soar Valley.The famous temple of Mostamanu is 2 Km. from Chandak. Chandak offers a fascinating view of the Himalayan ranges and the sprawling Soar Valley. It is a potential hang gliding resort and the magnesite mining factory is located too here.

Thal Kedar : Known for its famous temple of Mahadev. 16 Km from Pithoragarh. Jayanti Temple of Dhwaj 21 Km via Totanaula. Cave temple of Kapileshwar. Cave temple at Rai , Ulka Devi Temple, Kailash Ashram Wadda , Hanuman Temple etc.

Gangolihat : An important religious place and rich in folk culture and ancient myths , is situated 77 Km from Pithoragarh . It is particularly well known for the famous Mahakali temple where the Shakti Peeth was installed by Shankaracharya himself. During Navratries a fair is held on the occasion of which devotees offer pujas-along with sacrifices. 2 Km from Gangolihat near the Mankeshwar temple are the ruins of the fort which once belonged to the Mankotis -an obscure dynasty of Kumaon region. 2 Km away is Uprara, the native village of poet ‘Gumani’, the first Kumaoni poet, who also wrote in Hindi, Sanskrit and Nepali with great dexterity and command. 4 Km east from Uprara, near the village of Tamanauli is the Bharbhyo cave.

Accommodation : P.W.D. Rest House, Gopal Tourist Lodge, Shah Tourist Lodge.

Places of Tourist Attraction : Mahakali Temple , Chamunda Temple ,Mankeshwar Temple ,Cave Temple of Patal Bhuvneshwar.

Berinag : A small township facing the glorious snow clad pieces of Himalayas. Berinag is situated at a distance of 102 Km from Pithoragarh at an elevation of 1720 meters.

Accommodation :Tourist Rest House(Chaukori), P.W.D. Rest House, Hotels Kailash Darshan and Kamal Vihar.

Places of Tourist Attraction : Snake Temples, Tripura Devi Temple, Cave Temple of Koteshwar, Tea Gardens of Chaukori,

Chaukori : Eleven Km away from Berinag, Garaun water falls four Kms to the east of the Berinag, Musk Deer Farm at Kotmanya, Him Darshan Kutir at Dharamghar.

Thal : An important transit station for Mun- syari and Chaukori (Berinag). Thal is 62 Km away from Pithoragarh and is situated on the banks of Ram Ganga.

Places of Tourist Attraction :Ek Hatiya Temple, a monolithic shrine in Amiya village is 2 Km away from the motor road.

Kot Gari Devi : Situated about 9 Kms from Thal the temple of Kotgari is held to be the final divine court of appeal for the deprived and the victim of cruelty and injustice.

Didihat : 55 Kms from Pithoragarh, Didihat is situated at an elevation of 1725 meters.

Accommodation : P.W.D. Rest House, Tourist Rest House.

Hotels : Anand Hotel, Kumaun Hotel, National Hotel, Sharma Hotel.

Places of Tourist Interest : Seerakot fort cum Temple : 3 Km from Didihat Govt. Sericulture Garden is situated near G.I.C.

Munsyari : Munsyari, the center as well as the gateway of Johar region is

situated 154 Km from Pithoragarh at an elevation of 2298 meters and is snuggled in the folds of snow clad mountains.

Accommodation : P.W.D. Rest House, Tourist Rest House.

Hotel : Himani Tourist Lodge, Zara Residency.

Places of Tourist Interest :Munsyari is the base station for traks to Millam, Ralam and Namik Glaciers.

Dharchula : Situated at the banks of Kali river at the border of Pithoragarh district, Dharchula is 94 Km from Pithoragarh and is an important camp along the Kailash Mansarovar, Chotta Kailash and Narayan Ashram route.

Accommodation : N.H.P.C. Guest House , P.W.D. Rest House , Tourist Reception Centre and Hotel Yash.

Places of Tourist Attraction

Narayan Ashram : Established by Narayan Swami in 1936 , Narayan Ashram is situated at a distance of 17 Kms from Tawaghat. The Ashram is a spiritual cum socio-educational centre.

 

 

 

 

 

Jauljibi : A point of confluence of the river Gori and Kali and of three different cultures, is situated at a distance of 77 Km from Pithoragarh.

During the autumn season Jauljibi pulsates with an important trade fair which is an indication of the cultural and commercial prosperity of the region. Along the Kailash Mansarovar route, from Gunji (3500 m), one can move along the quieter Kali to walk to 10 Km to reach Kalapani (3600 m). There are pine, bhojpatra and juniper forests in this region. Although the river has been coming all the way from Lipulekh pass, the small pool formed under a huge rock is considered to be the source of the Kali. There are snow -clad mountains all around and Vyas’s cave is to be found on the mountain in front of Rishi Vyas that the region is known as Byans. There is also a hot water spring at Kalapani.

Adventure Spots : The department of tourism proposes to create and provide necessary infrastructure, equipments and the allied facilities for adventures sports like:
(a) Hang Gliding, (b) Para Gliding

Gliders can be made available on hire and conveyance to the gliding point and first aid facilities can be provided. Chandak, Munakot and Dwaj have been proposed into gliding points.

 

Haridwar District of Uttarakhand at a Glance

About Haridwar District :

Haridwar district, covering an area of about 2360 sq.km. is in the western part of Uttarakhand state. It’s latitude and longitude are 29.58 degree north and 78.13 degree east respectively. The height from the sea level is 249.7 mts. The district came into existence on 28th Dec. 1988. Prior to its inclusion, the district was a part of Saharanpur Divisional Commissionary. The district is ringed by Saharanpur in the west, Dehradun in the north and east, Pauri Garhwal in the east, Muzzaffar Nagar and Bijnor in the south. The district headquarter is situated in the Roshnabad. The district is administratively subdivided into four tehsils i.e. Haridwar, Roorkee , Laksar, Bhagwanpur and six development blocks i.e. Bhagwanpur, Roorkee, Narsan, Bahadrabad, Laksar and Khanpur. Haridwar is one of the first towns where Ganga emerges from the mountains to touch the planes. Due to Haridwar’s location on the bank of river Ganga, it has plenty of water resources and almost all kind of food grains are produced here in abundance. The places of tourist interests in the Districts are Haridwar Har Ki Pauri, temple of Chandi Devi, Mansa Devi Temple, Rajaji National Park, Piran Kalier, Sureshwari Devi, Rishikesh, Dehradun, Kodiyala, and Mussoorie

District at a Glance :

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Tourist Places :

Rajaji National Park :

Haridwar is also a popular destination for nature and adventure lovers. The Rajaji National Park is about 820 sq. km. in area; attracts wildlife lovers with its pristine scenic beauty and rich bio diversity. Three sanctuaries of the Shivalik range of western U.P. -Rajaji, Motichur and Chilla were amalgamated into a large protected area and named Rajaji National Park in year 1983It has 23 species of mammals and 315 avifauna species. One may watch a herd of elephants roaming majestically in the jungle or may find oneself excited by wildlife of many kinds including tigers, leopard, jungle cat, Himalayan yellow throated marten, samber, cheetal, barking deer, wild boar, langoor, ghural, sloth beer, king cobra, woodpecker etc. The river shelters fish in abundance. For further information on the subject, one may contact the Director’s office, 5/1 Ansari Marg, Dehradun-248001, Phone no. 0135-621669. They have got their website too- www.rajajinationalpark.co.in

Piran Kalier :

The ‘Dargah’ of Hazrat Makhdum Allauddin Ali Ahamed ‘Sabir’ on the outskirts of Roorkee town is a worth-visit-place for every visitor. It is situated towards the south of Haridwar. This place is one of the living examples of unity between the Hindu and Muslim religions. Famed for its mystical powers that fulfill the desires of the devout, the Dargah is visited by millions of devotees from all religions from India and abroad. The Urs is celebrated at this Dargah every year, from the first day of sighting the moon to the sixteenth day during the Rabeeull month of the Islamic calendar.

Sureshwari Devi :

This is a temple of Goddess Durga. Situated in the peaceful forest area of Rajaji National park.

Charanjeet Singh Rori

Charanjeet Singh Rori

Father’s Name Shri Gurdial Singh
Mother’s Name Smt. Mukhtiar Kaur
Date of Birth 15 Sep 1969
Place of Birth Rori, Distt. Sirsa (Haryana)
Marital Status Married
Date of Marriage 13 Jan 1997
Spouse’s Name Smt. Charanjeet Kaur
No. of Sons 2
Educational
Qualifications
Matric
Profession Agriculturist
Social Worker
Permanent Address
H.No. 207, Village Rori, Teh. Kalawali,
Distt. Sirsa, Haryana-125055
Tel : (01696) 240144
Mob. : 09416531248
Present Address
Flat No. 11, Meena Bagh,
New Delhi-110003
Tel : (011) 23061077
Mob. : 09013869140
Positions Held
2009 – 2014 Member, Haryana Legislative Assembly
May, 2014 Elected to 16th Lok Sabha
1 Sep. 2014 – 14 Dec. 2016 Member, Standing Committee on Commerce
Member, Consultative Committee, Ministry of Rural Development, Panchayati Raj and Drinking Water and Sanitation
1 May 2016 onwards Member, Committee on the Welfare of Scheduled Castes and Scheduled Tribes
14 Dec. 2016 onwards Member, Standing Committee on Urban Development

 

Social And Cultural Activities
Secretary, Shahid Bhagat Singh Memorial Club, Village – Rori, Sirsa (Haryana)
Favourite Pastime and Recreation
Watching Sports and visiting Historical places and Monuments
Sports and Clubs
Kabaddi and Wrestling
Other Information
Dedicate Social Worker
* Sarpanch, Rori village (2000-2005)
* Member, Zila Parishad, Sirsa (2005-2009)

Mahabir Singh Sindhu

Hon’ble Mr. Justice Mahabir Singh Sindhu

Born on 4th April 1967 in a small agriculturist family and studied upto 10th standard in Government High School of native village Masudpur, District Hisar. Obtained LL.B degree in the year 1992 from Panjab University, Chandigarh and enrolled as an Advocate with the Bar Council of Punjab and Haryana. Practised in Civil, Criminal, Constitutional, and Service Laws, mainly in the High Court of Punjab and Haryana at Chandigarh.
First generation lawyer in the family.
Represented several institutions, Municipal Councils, Government Boards/Corporations i.e. Haryana Public Service Commission, Kurukshetra University, Indian Red Cross Society (Haryana State Branch), Co-operative Banks , BSNL, etc.
In 1999 appointed as Additional Central Government Standing Counsel in the High Court of Punjab and Haryana and in the year 2000, Additional Government Pleader, Union Territory, Chandigarh.
Remained Deputy Advocate General, Haryana from the year 2004-2008.
In September 2008, appointed as Additional Advocate General, Punjab and worked up to December 2009. Thereafter Appointed as Additional Advocate General, Haryana in December 2009 and resigned from A.G. office in February, 2013 and resumed private practice.
In 2016 included in the panel of advocates to represent the High Court as well as subordinate Courts in the state of Punjab, Haryana and Chandigarh (U.T.).
Member of International Law Association (India).
Remained a member of the State Executive Committee, Union Territory, Chandigarh, constituted under Section 19 of the Persons with Disabilities (Equal Opportunities, Protection of Rights and Full Participation) Act, 1995.
Also remained a member of Managing Committee of Indian Red Cross Society, Haryana State Branch, and Finance Committee of IRCS and St.John Ambulance (India), Haryana State Branch, Chandigarh.
Elevated as an Additional Judge of the High Court of Punjab and Haryana at Chandigarh on 10th July, 2017.

Jaspal Singh

Hon’ble Mr. Justice Jaspal Singh

His Lordship was born on 10th October, 1956. Graduated from Government College, Chandigarh and did LLB in the year 1980 from Punjab University, Chadigarh. His Lordship joined judicial service in the State of Punjab in October 1983. Promoted as Additional District & Sessions Judge in February 1999. His Lordship became District & Sessions Judge in April 2008. Elevated as Additional Judge of the Punjab and Haryana High Court with effect from 20.06.2013 and thereafter as Permanent Judge on 19.12.2014

JEE Advanced 2015 Mathematics Syllabus

Algebra: Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.

Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.

Arithmetic, geometric and harmonic progressions, arithmetic, geometric  and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.

Logarithms and their properties.

Permutations and combinations, Binomial theorem for a positive integral index, properties of binomial coefficients.

Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and  their properties, solutions of simultaneous linear equations in two or three variables.

Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.

Trigonometry: Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.

Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only).

Analytical geometry:

Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin.

Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines;  Centroid, orthocentre, incentre and circumcentre of a triangle.

Equation of a circle in various forms, equations of tangent, normal and chord.

Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points  of  intersection of two circles and those of a circle and a straight line.

Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal.

Locus Problems.

Three dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.

Differential calculus: Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions.

Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions.

Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions.

Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.

Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s Theorem and Lagrange’s Mean Value Theorem.

Integral calculus: Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, Fundamental Theorem of Integral Calculus.

Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.

Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.

Vectors: Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.

JEE Advanced 2015 Chemistry Syllabus

Physical chemistry

General topics: Concept of atoms and molecules; Dalton’s atomic theory; Mole concept; Chemical formulae; Balanced chemical equations; Calculations (based on mole concept) involving common oxidation-reduction, neutralisation, and displacement reactions; Concentration in terms of mole fraction, molarity, molality and normality.

Gaseous and liquid states: Absolute scale of temperature, ideal gas equation; Deviation from ideality, van der Waals equation; Kinetic theory of gases, average, root mean square and most probable velocities and their relation with temperature; Law of partial pressures; Vapour pressure; Diffusion of gases.

Atomic structure and chemical bonding:  Bohr model, spectrum of hydrogen atom, quantum numbers; Wave-particle duality, de Broglie hypothesis; Uncertainty principle; Qualitative quantum mechanical picture of hydrogen atom, shapes of s, p and d orbitals; Electronic configurations of elements (up to atomic number 36); Aufbau principle; Pauli’s exclusion principle and Hund’s rule; Orbital overlap and covalent bond; Hybridisation involving s, p and d orbitals only; Orbital energy diagrams for homonuclear diatomic species;  Hydrogen bond; Polarity in molecules, dipole moment (qualitative aspects only); VSEPR model and shapes of molecules (linear, angular, triangular, square planar, pyramidal, square pyramidal, trigonal bipyramidal, tetrahedral and octahedral).

Energetics: First law of thermodynamics; Internal energy, work and heat, pressure-volume work; Enthalpy, Hess’s law; Heat of reaction, fusion and vapourization; Second law of thermodynamics; Entropy; Free energy; Criterion of spontaneity.

Chemical equilibrium:  Law of mass action; Equilibrium constant, Le Chatelier’s principle (effect of concentration, temperature and pressure); Significance of ΔG and ΔG° in chemical equilibrium; Solubility product, common ion effect, pH and buffer solutions;  Acids and bases (Bronsted and Lewis concepts); Hydrolysis of salts.

Electrochemistry: Electrochemical cells and cell reactions; Standard electrode potentials; Nernst equation and its relation to ΔG; Electrochemical series, emf of galvanic cells; Faraday’s laws of electrolysis; Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch’s law; Concentration cells.

Chemical kinetics:  Rates of chemical reactions; Order of reactions; Rate constant; First order reactions; Temperature dependence of rate constant (Arrhenius equation).

Solid state: Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, α, β, γ), close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours, ionic radii, simple ionic compounds, point defects.

Solutions:  Raoult’s law; Molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point.

Surface chemistry:  Elementary concepts of adsorption (excluding adsorption isotherms); Colloids: types, methods of preparation and general properties; Elementary ideas of emulsions, surfactants and micelles (only definitions and examples).

Nuclear chemistry:  Radioactivity: isotopes and isobars; Properties of α, β and γ rays; Kinetics of radioactive decay (decay series excluded), carbon dating; Stability of nuclei with respect to proton-neutron ratio; Brief discussion on fission and fusion reactions.

Inorganic Chemistry

Isolation/preparation and properties of the following non-metals: Boron, silicon, nitrogen, phosphorus, oxygen, sulphur and halogens; Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulphur.

Preparation and properties of the following compounds: Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of sodium, potassium, magnesium and calcium; Boron: diborane, boric acid and borax; Aluminium: alumina, aluminium chloride and alums; Carbon: oxides and oxyacid (carbonic acid); Silicon: silicones, silicates and silicon carbide;  Nitrogen: oxides, oxyacids and ammonia; Phosphorus: oxides, oxyacids (phosphorus acid, phosphoric acid) and phosphine; Oxygen: ozone and hydrogen peroxide; Sulphur: hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodium thiosulphate; Halogens: hydrohalic acids, oxides and oxyacids of chlorine, bleaching powder; Xenon fluorides.

Transition elements (3d series): Definition, general characteristics, oxidation states and their stabilities, colour (excluding the details of electronic transitions) and calculation of spin-only magnetic moment; Coordination compounds: nomenclature of mononuclear coordination compounds, cis-trans and ionisation isomerisms, hybridization and geometries of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral).

Preparation and properties of the following compounds: Oxides and chlorides of tin and lead; Oxides, chlorides and sulphates of Fe2+, Cu2+ and Zn2+; Potassium permanganate, potassium dichromate, silver oxide, silver nitrate, silver thiosulphate.

Ores and minerals: Commonly occurring ores and minerals of iron, copper, tin, lead, magnesium, aluminium, zinc and silver.

Extractive metallurgy: Chemical principles and reactions only (industrial details excluded); Carbon reduction method (iron and tin); Self reduction method (copper and lead); Electrolytic reduction method (magnesium and aluminium); Cyanide process (silver and gold).

Principles of qualitative analysis: Groups I to V (only Ag+, Hg2+, Cu2+, Pb2+, Bi3+, Fe3+, Cr3+,  Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+); Nitrate, halides (excluding fluoride), sulphate and sulphide.

Organic Chemistry

Concepts: Hybridisation of carbon; Sigma and pi-bonds; Shapes of simple organic molecules; Structural and geometrical isomerism;  Optical isomerism of compounds containing up to two asymmetric centres, (R,S and E,Z nomenclature excluded); IUPAC nomenclature of simple organic compounds (only hydrocarbons, mono-functional and bi-functional compounds); Conformations of ethane and butane (Newman projections); Resonance and hyperconjugation; Keto-enol tautomerism; Determination of empirical and molecular formulae of simple compounds (only combustion method); Hydrogen bonds: definition and their effects on physical properties of alcohols and carboxylic acids; Inductive and resonance effects on acidity and basicity of organic acids and bases; Polarity and inductive effects in alkyl halides; Reactive intermediates produced during homolytic and heterolytic bond cleavage;  Formation, structure and stability of carbocations, carbanions and free radicals.

Preparation, properties and reactions of alkanes: Homologous series, physical properties of alkanes (melting points, boiling points and density); Combustion and halogenation of alkanes; Preparation of alkanes by Wurtz reaction and decarboxylation reactions.

Preparation, properties and reactions of alkenes and alkynes: Physical properties of alkenes and alkynes (boiling points, density and dipole moments); Acidity of alkynes; Acid catalysed hydration of alkenes and alkynes (excluding the stereochemistry of addition and elimination); Reactions of alkenes with KMnO4 and ozone; Reduction of alkenes and alkynes; Preparation of alkenes and alkynes by elimination reactions; Electrophilic addition reactions of alkenes with X2, HX, HOX (X=halogen) and H2O;  Addition reactions of alkynes; Metal acetylides.

Reactions of benzene: Structure and aromaticity; Electrophilic substitution reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation; Effect of  o-, m- and p-directing groups in monosubstituted benzenes.

henols: Acidity, electrophilic substitution reactions (halogenation, nitration and sulphonation); Reimer-Tieman reaction, Kolbe reaction.

Characteristic reactions of the following (including those mentioned above):  Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard reactions,  nucleophilic substitution reactions;  Alcohols: esterification, dehydration and oxidation, reaction with sodium, phosphorus halides, ZnCl2/concentrated HCl, conversion of alcohols into aldehydes and ketones; Ethers:Preparation by Williamson’s  Synthesis; Aldehydes and Ketones: oxidation, reduction, oxime and hydrazone formation; aldol condensation, Perkin reaction; Cannizzaro reaction; haloform reaction and nucleophilic addition reactions (Grignard addition);  Carboxylic acids: formation of esters, acid chlorides and amides, ester hydrolysis; Amines: basicity of substituted anilines and aliphatic amines, preparation from nitro compounds, reaction with nitrous acid, azo coupling reaction of diazonium salts of aromatic amines, Sandmeyer and related reactions of diazonium salts; carbylamine reaction; Haloarenes: nucleophilic aromatic substitution in haloarenes and substituted haloarenes (excluding Benzyne mechanism and Cine substitution).

Carbohydrates: Classification; mono- and di-saccharides (glucose and sucrose); Oxidation, reduction, glycoside formation and hydrolysis of sucrose.

Amino acids and peptides: General structure (only primary structure for peptides) and physical properties.

Properties and uses of some important polymers: Natural rubber, cellulose, nylon, teflon and PVC.

Practical organic chemistry: Detection of elements (N, S, halogens); Detection and identification of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino and nitro; Chemical methods of separation of mono-functional organic compounds from binary mixtures.

JEE Advanced 2015 Physics Syllabus

General: Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Experiments based on using Vernier calipers and screw gauge (micrometer), Determination of g using simple pendulum, Young’s modulus by Searle’s method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using u-v method, Speed of sound using resonance column, Verification of Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box.

Mechanics: Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform Circular motion; Relative velocity.

Newton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy.

Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions.

Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity.

Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies.

Linear and angular simple harmonic motions.

Hooke’s law, Young’s modulus.

Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem and its applications.

Wave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns;Resonance; Beats; Speed of sound in gases; Doppler effect (in sound).

Thermal physics: Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation; Newton’s law of cooling; Ideal gas laws; Specific heats (Cv and Cp for monoatomic and diatomic gases); Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases);  Blackbody radiation: absorptive and emissive powers; Kirchhoff’s law; Wien’s displacement law, Stefan’s law.

Electricity and magnetism: Coulomb’s law; Electric field and potential; Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of electric field; Gauss’s law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell.

Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor.

Electric current; Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; Heating effect of current.

Biot–Savart’s law and Ampere’s law; Magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a current-carrying wire in a uniform magnetic field.

Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter and their conversions.

Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual inductance; RC, LR and LC circuits with D.C. and A.C. sources.

Optics: Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification.

Wave nature of light: Huygen’s principle, interference limited to Young’s double-slit experiment.

Modern physics: Atomic nucleus; Alpha, beta and gamma radiations; Law of radioactive decay;  Decay constant; Half-life and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes.

Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseley’s law; de Broglie wavelength of matter waves.