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

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