EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Ellipse>BITSAT 2019>Q 2

HARD

BITSAT

IMPORTANT

Earn 100

The locus of the foot of perpendicular drawn from the centre of the ellipse $x^{2} + 3 y^{2} = 6$ on any tangent to it is

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Important Questions on Ellipse

MEDIUM

BITSAT

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Ellipse>BITSAT 2018>Q 3

The line passing through the extremity

A

of the major axis and extremity

B

of the minor axis of the ellipse

x^{2} + 9 y^{2} = 9

meets its auxiliary circle at the point

M

. Then, the area of the triangle with vertices at

A, M

and the origin

O

is

EASY

BITSAT

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Ellipse>BITSAT 2019>Q 1

If the length of the major axis of the ellipse

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

is three times the length of minor axis, its eccentricity is

MEDIUM

BITSAT

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Ellipse>BITSAT 2017>Q 4

If

p

and

p^{'}

denote the lengths of the perpendicular from a focus and the centre of an ellipse with semi-major axis of length

a

, respectively, on a tangent to the ellipse and

r

denotes the focal distance of the point, then