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.

District at a Glance :

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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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JEE Advanced 2014 Mathematics Syllabus (Integral calculus)

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 2014 Mathematics Syllabus (Differential calculus)

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.

JEE Advanced 2014 Mathematics Syllabus (Two dimensions)

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.

JEE Advanced 2014 Mathematics Syllabus (Trigonometry)

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).

JEE Advanced 2014 Mathematics Syllabus (Algebra)

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.

JEE Main 2014 Syllabus Mathematics Unit – 14

 Statistics  and  Probability :

Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.

Probability: Probability of an event, addition and multiplication theorems of probability, Baye’s theorem, probability distribution of a random variate, Bernoulli trials and Binomial distribution.