EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 12 - Ellipse>WBJEE 2018>Q 4

MEDIUM

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IMPORTANT

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Let $P$ be a point on the ellipse $\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$ 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 $P Q$ such that $\frac{P R}{R Q} = \frac{1}{2},$ then the locus of $R$ is

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Important Questions on Ellipse

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 12 - Ellipse>WBJEE 2020>Q 5

Consider a tangent to the ellipse

\frac{x^{2}}{2} + \frac{y^{2}}{1} = 1

at any point. The locus of the mid-point of the portion intercepted between the axes is

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 12 - Ellipse>WBJEE 2020>Q 6

Consider the curve

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

. The portion of the tangent at any point of the curve intercepted between the point of contact and the directrix subtends at the corresponding focus an angle of