EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Ellipse>TS EAMCET - 5 August 2021 Shift 1>Q 7

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An ellipse has its major axis along $y$ -axis and minor axis along $x$ -axis. If its length of latus rectum is $\frac{2}{3}$ times of its minor axis, then the eccentricity of the ellipse is

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Important Questions on Ellipse

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Ellipse>TS EAMCET - 5 August 2021 Shift 1>Q 8

If the length and breadth of a rectangle of maximum area that can be inscribed in an ellipse

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

are

8 \sqrt{2}

and

4 \sqrt{2}

respectively, then the eccentricity of that ellipse is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Ellipse>TS EAMCET 2018 (04-May Shift-1)>Q 9

If the normal drawn at one end of the latus rectum of the ellipse

b^{2} x^{2} + a^{2} y^{2} = a^{2} b^{2}

with eccentricity '

e

' passes through one end of the minor axis, then

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Ellipse>TS EAMCET 2018 (04-May Shift-1)>Q 10

A variable tangent to the ellipse

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

makes intercepts on both the axes. The locus of the middle point of the portion of the tangent between the coordinate axes is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Ellipse>TS EAMCET 2019 (03-May Shift-2)>Q 11

The locus of the midpoints of the portion of the tangents of the ellipse

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

intercepted between the coordinate axes is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Ellipse>TS EAMCET - 5 August 2021 Shift 2>Q 12

If a circle

(x - 1)^{2} + y^{2} = r^{2}

touches the ellipse

x^{2} + 4 y^{2} = 16

internally, then

r =