WB JEE 2018 | Ellipse Question 26 | Mathematics

WB JEE 2018

MCQ (Single Correct Answer)

-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 x² + y² = 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 is

$${{{x^2}} \over 9} + {{9{y^2}} \over {49}} = 1$$

$${{{x^2}} \over {49}} + {{{y^2}} \over 9} = 1$$

$${{{x^2}} \over 9} + {{{y^2}} \over {49}} = 1$$

$${{9{x^2}} \over {49}} + {{{y^2}} \over 9} = 1$$

WB JEE 2017

MCQ (Single Correct Answer)

-0.25

B is an extremity of the minor axis of an ellipse whose foci are S and S'. If $$\angle SBS'$$ is a right angle, then the eccentricity of the ellipse is

$${1 \over 2}$$

$${1 \over {\sqrt 2 }}$$

$${2 \over 3}$$

$${1 \over 3}$$

WB JEE 2017

MCQ (Single Correct Answer)

-0.5

Tangents are drawn to the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 5} = 1$$ at the ends of both latusrectum. The area of the quadrilateral, so formed is

27 sq units

$${{13} \over 2}$$ sq units

$${{15} \over 4}$$ sq units

45 sq units

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