Mathematics Crash Course NDA & NA EE>Chapter 13 - Ellipse>Exercise 1>Q 10

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The eccentricity $e$ of an ellipse satisfies the condition

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Important Questions on Ellipse

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Mathematics Crash Course NDA & NA EE>Chapter 13 - Ellipse>Exercise 1>Q 11

The equation of the ellipse, whose vertices are at

(\pm 5, 0)

and foci at

(\pm 4, 0)

is

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Mathematics Crash Course NDA & NA EE>Chapter 13 - Ellipse>Exercise 1>Q 12

The length of latus rectum of the ellipse

4 x^{2} + 9 y^{2} = 36

is

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Mathematics Crash Course NDA & NA EE>Chapter 13 - Ellipse>Exercise 1>Q 13

What is the sum of the major and minor axes of the ellipse, whose eccentricity is

\frac{4}{5}

and length of latus rectum is

14.4

units?

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Mathematics Crash Course NDA & NA EE>Chapter 13 - Ellipse>Exercise 1>Q 14

What is the length of the latus rectum of an ellipse

25 x^{2} + 16 y^{2} = 400

?

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Mathematics Crash Course NDA & NA EE>Chapter 13 - Ellipse>Exercise 1>Q 15

What is the equation of the ellipse whose vertices are

(\pm 5, 0)

and foci are at

(\pm 4, 0) ?

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Mathematics Crash Course NDA & NA EE>Chapter 13 - Ellipse>Exercise 1>Q 16

If the distance between the directrices be thrice the distance between the foci, then the eccentricity of the ellipse is

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Mathematics Crash Course NDA & NA EE>Chapter 13 - Ellipse>Exercise 1>Q 17

If the eccentricity of an ellipse be

\frac{1}{\sqrt{2}}

, then its latus rectum is equal to its

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Mathematics Crash Course NDA & NA EE>Chapter 13 - Ellipse>Exercise 1>Q 18

If the eccentricity of the two ellipse

\frac{x^{2}}{169} + \frac{y^{2}}{25} = 1

and

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

are equal, then the value of

\frac{a}{b}

is