Anantnag District of Jammu and Kashmir at a Glance

About Anantnag District :

Anantnag District is in southern sector of Jehlum Valley. It is because of its rejuvenating climate, the inspiring majesty, its lofty mountains, the melodious flow of sweet waters of its springs and sreams, fertile soil, fragrant flowers and delicious fruits that the district has come to be synonymous with greatness.

Geographically the district lies between 33o-20′ to 34o-15′ north latitude and 74o-30′ to 75o-35′ east longitude. The entire Southern sector of the district, which is contiguous with tehsils of Reasi, Banihal and Kishtwar of Jammu province, and Eastern sector which is contiguous with tehsil Kargil of Ladakh division comprises of thick forests and mountains. The Northern and Western sides of this district are bounded by Pulwama district while Kulgam district falls in its west. Of all the districts of the state, Anantnag claims the largest number of streams (Nallas) like Sandran, Brengi, Arpath and Lidder. The most important among these is Lidder which takes of from Sheshnag lake and irrigate maximum area of the district.

The area of the district after carving out district Kulgam in year 2007 stood at 2917 Sq. Kms, which constitutes about 1.31% of the total area of Jammu & Kashmir state. As per Census 2011, the population of the district is 10.70 lac with 5.52 lac Males and 5.17 lac Females.

As per the report of Revenue authorities, the district consists of 605 Villages having 01 Municipal Council and 10 Municipal Committees. There are Six Tehsils Viz. Anantnag, Bijbehara, Dooru, Shangus, Kokernag and Pahalgam which have further ben sub divied into 16 Nayabats (Land Revenue Circles) and 96 Patwar halqas. These villages have also ben divided into 07 Comunity Development Blocks Viz. Achabal, Breng, Dachnipora, Khoveripora, Qazigund, Shahabad and Shangus. For Law & Order purposes there are 09 Police Stations and 06 Police Posts in the district.

Owing to proximity of Peer Panchal Range, which stretches in its South and South-East, the district has a more temperate climate in sumer than other districts of the Valley. In winter, however, snowfall is heavier and temperature is relatively low. Being engulfed on two sides by mountains, the moonsoon does not generally reach the district. The rainfall is often excessive in Spring, moderate in Summer, deficient in Autumn and moderate in Winter.

The name of Anantnag District according to a well known archaeologist, Sir A.Stein from the great spring Ananta Naga issuing at the southern end of the town. This is also corroborated by almost all local historians including Kalhana according to whom the town has taken the name of this great spring of Cesha or Ananta Naga “land of countless springs”. The spring is mentioned in the Neelmat Purana as a sacred place for the Hindus and Koshur Encyclopedia testifies it.
The district as well as its headquarter town are also called Islamabad. Regarding this second name no mention is to be found in the old chronicles of Kashmir. It is however, said that the name of Islamabad was assigned to the town by one Islam Khan who was the Governor of Kashmir during the Mughal rule in 1663 A.D., but the change in its nomenclature proved temporary and during the reign of Gulab Singh the town as well as district again resumed their old name, Anantnag, but stillbut still the name Islamabad is Popular among common masses, though officially the name Anantnag is used.
Before the advent of Muslim rule in 1320 A.D., Kashmir was divided into three divisions, viz; Maraz in the south, Yamraj in the centre and Kamraj in the north of the Valley. Old chronicles reveal that the division was the culmination of the rift Marhan and Kaman, the two brothers, over the crown of their father. The part of the valley which lies between Pir Panjal and Srinagar now called the Anantnag was given to Marhan and named after him as Maraj. While Srinagar is no longer known as Yamraj, the area to its north and south are still called Kamraz and Maraz respectively. Lawrence in his book “The Valley of Kashmir” states that these divisions were later on divided into thirty four sub-divisions which after 1871 were again reduced to five Zilas or districts.

District at a Glance :

  • District – 
  • Headquarters – 
  • State
Area in Sq Km (Census 2011)
  • Total – 
  • Rural – 
  • Urban – 
Population (Census 2011)
  • Population – 
  • Rural – 
  • Urban – 
  • Male – 
  • Female – 
  • Sex Ratio (Females per 1000 males) – 
  • Density (Total, Persons per sq km) – 
Constituencies (ECI)
  • Assembly
  • Loksabha

Tourist Places :

 

 

Pratapgarh District of Uttar Pradesh at a Glance

About Pratapgarh District :

Pratapgarh district, lies between 25o34′ and 26o 11′ latitudes while between 81o19′ and 82o27′ longitudes. Primarily, an agragrian district, for a while now, Pratapgarh has risen in ranks as the top producer of Aonla fruit. It is a multi-purpose fruit, is extremely rich in vitamin C, helps cure gastro-intestinal disorders, is said to encourage youth and liveliness and is exported all over india and possibly over world in form of sweets and medicines. Pratapgarh on the Allahabad-Faizabad main road at a distance of 39 km from Sultanpur and 61 Km from Allahabad. It is one of the older districts of Uttar Pradesh, that came into existence in the year 1858. It is at a height of 137 Mt. from sea level.

District at a Glance :

  • District – 
  • Headquarters – 
  • State
Area in Sq Km (Census 2011)
  • Total – 
  • Rural – 
  • Urban – 
Population (Census 2011)
  • Population – 
  • Rural – 
  • Urban – 
  • Male – 
  • Female – 
  • Sex Ratio (Females per 1000 males) – 
  • Density (Total, Persons per sq km) – 
Constituencies (ECI)
  • Assembly
  • Loksabha

 

 

AMRITA Engineering (UG) 2015 Updates

AMRITA Engineering (UG) 2015 Information Updates :

  1. AMRITA Engineering (UG) 2015 OMR Sheet
  2. AMRITA Engineering (UG) 2015 General Instructions
  3. AMRITA Engineering (UG) 2015 FAQs
  4. AMRITA Engineering (UG) 2015 Important Notes
  5. AMRITA Engineering (UG) 2015 Check List

 

Click here for AMRITA Engineering Model Papers & Preparatory Course

 

AMRITA Engineering (UG) 2015 Exam Pattern

AMRITA Engineering (UG) 2015 Exam Pattern (AEEE 2015): The duration of the Examination is 2 1/2 hours.

  • There will be only one question paper containing objective type questions in Mathematics, Physics and Chemistry.
  • Each question will be followed by four answers of which only one is correct / most appropriate.
  • The question booklet will be in English language.
  • Each question carries 3 marks. Negative mark (-1) will be awarded for each wrong answer.
  • AMRITA Engineering (UG) 2015 Exam is conducted in two separate modes

a) Computer based test (CBT)

b) Paper & Pencil based test (P&P)

Subject Combination:

 

SubjectWeightageTotal No. of QuestionsTotal Marks
Mathematics40 questions100300
( 100 x 3 )
Physics30 questions
Chemistry30 questions

 

AMRITA Engineering (UG) 2015 Exam Centre

EXAMINATION CITIES FOR COMPUTER BASED TEST

TAMILNADU

CITY

CODE

CITY

CODE
Chennai101Coimbatore102
Erode105Hosur106
Madurai108Nagarcoil109
Nammakal110Neyveli111
Ooty112Puducherry114
Salem115Tanjavur116
Tirunelveli117Tiruppur118
Trichy119

KERALA

CITY

CODECITYCODE
Amritapuri202Kannur204
Kochi206Kottayam208
Kozikode209Palakkad211
Thiruvananthapuram213Thrissur214

KARNATAKA

CITY

CODECITYCODE
Belgaum301Bengaluru302
Hubli304Mangalore305
Mysore306

ANDHRA PRADESH

CITY

CODECITYCODE
Anantapur401Kakinada403
Kurnool404Nellore405
Tirupati406Vijayawada407
Vishakhapatnam408

TELANGANA

CITYCODE
Hyderabad501
Karimnangar502
Nizamabad503
Warangal504

ASSAM 

CITYCODE
Guwahati601
Slichar602

BIHAR

CITYCODE
Bhagalpur603
Patna604

CHANDIGARH

CITYCODE
Chandigarh605

CHATTISGARH

CITYCODE
Bhilai606
Raipur607
DELHI
CITYCODE
Delhi608

GOA

 
CITYCODE
Goa609

GUJARAT

 
CITYCODE
Ahmedabad610
Rajkot611
Surat612
Vadodara613

HARYANA

CITYCODE
Faridabad614
Gurgaon615
Hissar616
Kurukshetra617

HIMACHAL PRADESH

CITYCODE
Shimla618

JHARKHAND

CITYCODE
Bokaro619
Dhanbad620
Jamshedpur621
Ranchi622

MADHYA PRADESH

CITYCODE
Bhopal623
Gwalior624
Indore625
Jabalpur626

MAHARASHTRA

CITYCODE
Mumbai627

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

EXAMINATION CITIES FOR PAPER &PENCIL BASED TEST

 

TAMIL NADU

CITYCODECITYCODE
Chennai101Coimbatore102
Cuddalore103Dindigul104
Erode105Hosur106
Karur107Madurai108
Nammakal110Pudukottai113
Puducherry114Salem115
Tirupur118Trichy119
Tuticorin120Vellore121

KERALA

CITYCODECITYCODE
Alappuzha201Amritapuri (Kollam)202
Kalpetta203Kannur204
Kasaragod205Kochi206
Kollam207Kottayam208
Kozhikode209Malappuram210
Palakkad211Pathanamthitta212
Thiruvananthapuram213Thrissur214
Thodhupuzha215

KARNATAKA

CITYCODECITYCODE
Bengaluru302Davangere303
Raichur307Shimoga308
Udupi309

ANDHRA PRADESH

CITYCODECITYCODE
Anantapur401Cuddapah402
Kakinada403Nellore405
Tirupati406Vijayawada407
Vishakhapatnam408

TELANGANA

CITYCODECITYCODE
Hyderabad501Warangal504

AMRITA Engineering (UG) 2015 Eligibility

Details about AMRITA Engineering (UG) 2015 Eligibility :-

  •  Age: – Candidates shall be born on or after 1st July 1994.
  •  Educational Qualification: – A  pass in the final examination of 10+2 ( class XII ) or its equivalent securing 60% or above marks in Mathematics, Physics, Chemistry with not less than  55% mark  in each of these three subjects.

 OR

  • A three year Diploma in Engineering with minimum 60% marks, awarded by any State Board of Technical Education.
  • Note: Those who appear for the above examinations in March / April 2015 and expect to secure minimum marks as above, may also apply.

AMRITA Engineering 2015 Chemistry Syllabus

AMRITA Engineering 2015 Chemistry Syllabus for Under Graduate Students :

   CHEMISTRY

a. BASIC CONCEPTS

Atomic and molecular masses, mole concept and molar mass, percentage composition, empirical and molecular formula, chemical reactions, stoichiometry and calculations based on stoichiometry.

b. ATOMIC STRUCTURE, CHEMICAL BONDING AND MOLECULAR STRUCTURE

Bohr’s model, de Broglie’s and Heisenberg’s principles, Quantum mechanical model, Orbital concept and filling up of electrons; Bond formation and bond parameters; Valence bond and molecular orbital theory; VSEPR theory; Hybridization involving s, p and d orbital; Hydrogen bond.

c. EQUILIBRIUM AND THERMODYNAMICS

Law of chemical equilibrium and Equilibrium Constant; Homogeneous and Heterogeneous equilibria; LeChatelier’s principle, Ionic equilibrium; Acids, Bases, Salts and Buffers; Solubility product; Thermodynamic state; Enthalpy, Entropy and Gibb’s free energy; Heats of reactions; Spontaneous and non- spontaneous processes.

d. ELECTROCHEMISTRY, KINETICS AND SURFACE CHEMISTRY

Specific, molar and equivalent conductance of weak and strong electrolytes; Kohlrausch law; Electrochemi cal cells and Nernst equation; batteries, fuel cells and corrosion Rate of a reaction and factors affecting the rate: Rate constant, order and molecularity, collision theory. Physisorption and chemisorptions; colloids and emulsions; homogeneous and heterogeneous catalysis.

e. SOLID STATE AND SOLUTIONS

Molecular, ionic, covalent and metallic solids; amorphous and crystalline solids; crystal lattices and Unit cells; packing efficiency and imperfections; electrical and magnetic properties. Normality, molarity and molality of solutions, vapour pressure of liquid solutions; ideal and non-ideal solutions, colligative properties  abnormality.

f. HYDROGEN

Position of hydrogen in the periodic table; dihydrogen and hydrides- preparation and properties; water, hydrogen peroxide and heavy water; hydrogen as a fuel.

g. S – BLOCK ELEMENTS

Group 1 and 2 Alkali and Alkaline earth elements; general characteristics of compounds of the elements; anomalous behavior of the first element; preparation and properties of compounds like sodium and calcium carbonates, sodium chloride, sodium hydroxide; biological importance of sodium, potassium and calcium.

h. P – BLOCK ELEMENTS

Groups 13 to 17 elements: General aspects like electronic configuration, occurrence, oxidation states, trends in physical and chemical properties of all the families of elements; compounds of boron like borax, boron hydrides and allotropes of carbon; compounds of nitrogen and phosphorus, oxygen and sulphur; oxides and oxyacids of halogens.

i. D, F – BLOCK ELEMENTS

Electronic configuration and general characteristics of transition metals; ionization enthalpy, ionic radii, oxidations states and magnetic properties; interstitial compounds and alloy formation; lanthanides and actinoids and their applications.

j. CO-ORDINATION COMPOUNDS

Werner’s theory and IUPAC nomenclature of coordination compounds; coordination number and isomerism;  Bonding in coordination compounds and metal carbonyls and stability; application in analytical  methods, extraction of metals and biological systems.

k. BASIC ORGANIC CHEMISTRY AND TECHNIQUES Tetravalence of carbon and shapes or organic compounds; electronic displacement in a covalent bond-inductive  and electromeric effects, resonance and hyperconjugation; hemolytic and heterolytic cleavage of covalent bond – free radicals, carbocations, carbanions electrophiles and nucleophiles; methods of purification of organic compounds; qualitative and quantitative analysis.

l. HYDROCARBONS, HALOALKANES AND HALOARENES

Alkanes, alkenes,alkynes and aromatic hydrocarbons; IUPAC nomenclature, isomerism; conformation of ethane, geometric isomerism, general methods of preparation and properties, free radical mechanism of halogenations, Markownikoff’s addition and peroxide effect; benzene, resonance and aromaticity, substitution reactions; Nature of C-X bond in haloalkanes and haloarenes; mechanism of substitution reactions

m. ALCOHOLS, PHENOLS AND ETHERS

IUPAC nomenclature, general methods of preparation, physical and chemical properties, identification of primary, secondary and tertiary alcohols, mechanism of dehydration; electrophillic substitution reactions.

n. ALDEHYDES, KETONES, CARBOXYLIC ACIDS AND AMINES

Nomenclature, general methods of preparation, physical and chemical properties of the group members; nucleophilic addition and its mechanism; reactivity of alpha hydrogen in aldehydes; mono and dicarboxylic acids-preparation and reactions; identification of primary, secondary and tertiary amines; preparation and reactions of diazonium salts and their importance in synthesis.

o. POLYMERS AND BIOMOLECULES

Natural and synthetic polymers, methods of polymerization, copolymerization, molecular weight of polymers,  Polymers of commercial  importance, Carbohydrates: mono, oligo and polysaccharides; Proteins Alpha amino acid, peptide linkage and polypeptides: Enzymes, Vitamins and Nucleic acids (DNA and RNA)

p. ENVIRONMENTAL CHEMISTRY

Air, water and soil pollution, chemical reactions in atmosphere, acid rain; ozone and its depletion; green house effect and global warming; pollution control.

q. CHEMISTRY IN EVERYDAY LIFE

Drugs and their interaction; chemicals as analgesics, tranquilizers, antiseptics, antibiotics, antacids and antihistamines; Chemicals in food-  preservatives , artificial sweetening agents; cleansing agents – soaps and detergents.

AMRITA Engineering (UG) 2015 Physics Syllabus

PHYSICS

a. UNITS AND DIMENSIONS

Units for measurement, system of units, SI, fundamental and derived units, dimensions and their applications.

b. MECHANICS

Motion in straight line, uniform and non-uniform motion, uniformly accelerated motion and its applications Scalars and Vectors, and their properties; resolution of vectors, scalar and vector products; uniform circular motion and its applications, projectile motion Newton’s Laws of motion;  conservation of linear momentum and its applications, laws of friction, Concept of work, energy and power; energy-kinetic and potential;
conservation of energy; different forms of energy. Elastic collisions in one and two dimensions. Center of mass of a many particle system; center of mass of a rigid body, rotational motion and torque. Angular momentum and its conservation. Moments of inertia, parallel and perpendicular axes theorem,
moment of inertia for a thin rod, ring, disc and sphere.

Gravitation: Acceleration due to gravity and its properties. One and two dimensional motion under gravity. Universal law of gravitation, planetary motion, Kepler’s laws, artificial satellite-geostationary satellite, gravitational  potential energy near the surface of earth, gravitational potential and escape velocity.

c. SOLIDS AND FLUIDS
Solids: Elastic properties, Hooke’s law, Young’s modulus, bulk modulus, modulus of rigidity.Liquids: cohesion and adhesion; surface energy and surface tension; flow of fluids, Bernoulli’s theorem and its applications; viscosity, Stoke’s Law, terminal velocity.

(i) OSCILLATIONS AND WAVES

Periodic motion, simple harmonic motion and its equation, oscillations of a spring and simple pendulum. Wave motion, properties of waves, longitudinal and transverse waves, superposition of waves, Progressive and standing waves. Free and forced oscillations, resonance, vibration of strings and air columns, beats, Doppler effect.

(ii) HEAT AND THERMODYNAMICS

Thermal expansion of solids, liquids and gases and their specific heats, relationship between Cp and Cv for gases, first and second laws of  thermodynamics , Carnot cycle, efficiency of heat engines. Transference of heat; thermal conductivity; black body radiations, Kirchoff’s law, Wein’s Law, Stefan’s law of radiation and Newton’s law of cooling.

(iii) ELECTROSTATICS,CURRENT ELECTRICITY AND MAGNETOSTATICS

Coloumb’s law, dielectric constant, electric field, lines of force, field due to dipole , electric flux, Gauss’s  theorem and its applications; electric potential, potential due to a point charge; conductors and insulators, distribution of charge on conductors; capacitance, parallel plate capacitor, combination of capacitors, energy  stored in a capacitor.

Electric current : Cells-primary and secondary, grouping of cells; resistance and specific resistivity and its temperature dependence. Ohm’s law, Kirchoff’s Law. Series and parallel circuits; Wheatstone’s Bridge and potentiometer with their applications. Heating effects of current, electric power, concept of thermoelectricity-Seebeck effect and thermocouple; chemical effect of current- Faraday’s laws of electrolysis. Magnetic effects: Oersted’s experiment, Biot Savert’s law, magnetic field due to straight wire, circular loop and solenoid, force on a moving charge in a uniform magnetic field(Lorentz force),forces and torques on a current carrying conductor in a magnetic field, force between current carrying wires, moving coil galvanometer  and conversion to ammeter and voltmeter.

Magnetostatics: Bar magnet, magnetic field, lines of force, torque on a bar magnet in a magnetic field, earth’s magnetic field; para, dia and ferro magnetism, magnetic induction, magnetic susceptibility.

d. ELECTROMAGNETIC INDUCTION AND ELECTROMAGNETIC WAVES

Induced e.m.f., Faraday’s law, Lenz’s law, self and mutual inductance; alternating currents, impedance and reactance, power in ac; circuits with L C and R series combination, resonant circuits, transformer and AC generator. Electromagnetic waves and their characteristics; electromagnetic spectrum from gamma to radio waves.

e. RAY AND WAVE OPTICS
Reflection and refraction of light at plane and curved surfaces, total internal reflection; optical fiber; deviation and dispersion of light by a prism; lens formula, magnification and resolving power; microscope and telescope, Wave nature of light, interference, Young’s double experiment; thin films, Newton’s rings.

Diffraction: diffraction due to a single slit; diffraction grating, polarization and applications.

f. MODERN PHYSICS

Dual nature of Radiation – De Broglie relation, photoelectric effect, Alpha particle scattering experiment, atomic masses, size of the nucleus;  radioactivity, alpha, beta and gamma particles/rays. Radioactive decay law, half life and mean life of radio active nuclei; Nuclear binding energy, mass energy relationship, nuclear fission and nuclear fusion. Energy bands in solids, conductors, insulators and semiconductors, pn junction, diode, diode as a rectifier, transistor action, transistor as an amplifier.

AMRITA Engineering (UG) 2015 Mathematics Syllabus

MATHEMATICS

a. Complex Numbers

Complex numbers in the form a+ib and their representation in a plane. Argand diagram. Algebra of complex numbers, Modulus and argument (or  amplitude) of a complex number, square root of a complex number. Cube roots of unity, triangle inequality.

b. Linear Inequalities

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line.

c. Permutations and Combinations

Fundamental principle of counting; Permutation as an arrangement and combination as selection, Meaning of P(n,r)and C(n,r).Simple applications.

d. Binomial Theorem

Binomial theorem for positive integral indices. Pascal’s triangle. General and middle terms in binomial expansions, simple applications.

e. Sequences and Series

Arithmetic, Geometric and Harmonic progressions. Insertion of Arithmetic, Geometric and Harmonic means  between two given numbers. Relation between A.M., G.M. and H.M. Arithmatic  Geometric Series, Exponential and Logarithmic Series.

f. Matrices and Determinants

Determinants and matrices of order two and three, Properties of determinants. Evaluation of determinants. Addition and multiplication of matrices, adjoint and inverse of matrix. Solution of simultaneous linear equations using determinants .

g. Quadratic Equations

Quadratic equations in real and complex number system and their solutions. Relation between roots and co-efficients, Nature of roots, formation of quadratic equations with given roots;

h. Relations and Functions

Definition of a relation. Domain, codomain and range of a relation. Function as special kind of relation and their domain, codomain and range. Real valued function of a real variable. Constant, identity, polynomial, rational. Modulus, signum and greatest integer functions. Sum. Difference, product and quotient of functions.  Types of relations: refelexive, symmetric, transitive and equivalence relations. One to one and onto functions.Composite functions, inverse of a function.

i. Trigonometry

Trigonometrical identities and equations. Inverse trigonometric functions and their properties. Properties of triangles, including centroid, incentre, circumcentre and orthocentre, solution of triangles. Heights and distances.

j. Measures of Central Tendency and Dispersion 

Calculation of Mean, Median and Mode of grouped and ungrouped data. Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.

k. Probability

Probability of an event, addition and multiplication theorems of probability and their applications; Conditional probability; Bayes’ theorem, Probability distribution of a random variate; Binomial and Poisson distributions and their properties.

l. Differential Calculus

Polynomials, rational, trigonometric, logarithmic and exponential functions. Graphs of simple functions. Limits, Continuity; differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives  of order upto two. Applications of derivatives: Maxima and Minima of functions one variable, tangents and normals, Rolle’s and Langrage’s Mean Value Theorems.

m. Integral Calculus

Integral as an anti derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric  identities. Integral as a limit of sum. Properties of definite integrals. Evaluation of definite integral; Determining areas of the regions bounded by simple curves.

n. Differential Equations

Ordinary differential equations, their order and degree. Formation of differential equation. Solutions of differential  equations by the method of separation of variables. Solution of Homogeneous and linear differential equations.

o. Two Dimensional Geometry

Review of Cartesian system of rectangular co-ordinates in a plane, distance formula, area of triangle, condition for the collinearity of three points, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.

p. The straight line and pair of straight lines

Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurence  of three lines, distance of a point from a line .Equations of internal and external bisectors of angles between two lines, equation of family lines passing through the point of intersection of two lines, homogeneous  equation of second degree in x and y, angle between pair of lines through the origin, combined equation of the bisectors of the angles between a pair of lines, condition for the general second degree equation to represent a pair of lines, point of intersections and angles between two lines.

q. Circles and Family of Circles

Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle in the parametric form, equation of a circle when the end points of a diameter are given, points of intersection of a line and circle with the centre at the origin and condition for a line to be tangent, equation of a family of circles through the intersection of two circles, condition for two intersecting circles to be orthogonal.

r. Conic Sections

Sections of cones, equations of conic sections ( parabola, ellipse and hyperbola) in standard forms conditions for y = mx+c to be a tangent and point(s) of tangency.

s. Vector Algebra

Vector and scalars, addition of two vectors, components of a vector in two dimensions and three dimensional  space, scalar and vector products, scalar and vector triple product. Application of vectors to plane geometry.

t. Three Dimensional Geometry

Distance between two points. Direction cosines of a line joining two points. Cartesian and vector equation of a line. Coplanar and skew lines. Shortest distance between two lines.Cartesian and vector equation of a plane. Angle between (i) two lines (ii) two planes (iii) a line and a plane Distance of a point from a plane.

AMRITA Engineering (UG) 2015 Syllabus

 

Click here for AMRITA Engineering Model Papers & Preparatory Course