1

WB JEE 2019

MCQ (Single Correct Answer)

+2

-0.5

A point is in motion along a hyperbola $$y = {{10} \over x}$$ so that its abscissa x increases uniformly at a rate of 1 unit per second. Then, the rate of change of its ordinate when the point passes through (5, 2)

2

WB JEE 2018

MCQ (Single Correct Answer)

+1

-0.25

Let the eccentricity of the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$ be reciprocal to that of the ellipse x

^{2}+ 9y^{2}= 9, then the ratio of a^{2}: b^{2}equals to3

WB JEE 2018

MCQ (Single Correct Answer)

+1

-0.25

Let P be a point on the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 4} = 1$$ and the line through P parallel to the Y-axis meets the circle x

^{2}+ y^{2}= 9 at Q, where P, Q are on the same side of the X-axis. If R is a point on PQ such that $${{PR} \over {RQ}} = {1 \over 2}$$, then the locus of R is4

WB JEE 2017

MCQ (Single Correct Answer)

+1

-0.25

Let P be the foot of the perpendicular from focus S of hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$ on the line bx $$-$$ ay = 0 and let C be the centre of the hyperbola. Then, the area of the rectangle whose sides are equal to that of SP and CP is

Questions Asked from Ellipse and Hyperbola (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

WB JEE Subjects

Physics

Mechanics

Units & Measurements
Vector Algebra
Motion
Laws of Motion
Work Power & Energy
Center of Mass
Rotational Motion
Properties of Matter
Heat and Thermodynamics
Simple Harmonic Motion
Waves
Gravitation

Electricity

Optics

Modern Physics

Chemistry

Physical Chemistry

Some Basic Concepts of Chemistry
Atomic Structure
Redox Reaction
Gaseous State
Chemical Equilibrium
Liquid Solution
Ionic Equilibrium
Thermodynamics
Chemical Kinetics
Radioactivity and Nuclear Chemistry
Electrochemistry
Solid State
Surface Chemistry

Inorganic Chemistry

Periodic Table
Chemical Bonding
Metallurgy
Hydrogen and It's Compounds
Some s Block Elements
Some P Block Elements
d and f Block Elements
Coordination Compounds

Organic Chemistry

Mathematics

Algebra

Logarithms
Sequence and Series
Quadratic Equations
Complex Numbers
Permutations and Combinations
Mathematical Induction and Binomial Theorem
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Vector Algebra
Three Dimensional Geometry
Probability
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Trigonometry

Coordinate Geometry

Calculus