MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 45

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The latus rectum of an ellipse is $10$ and the minor axis is equal to the distance between the foci. The equation of the ellipse is

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Important Questions on Circle and Conics

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 46

The equation of ellipse whose distance between the foci is equal to

8

and the distance between the directrix is

18

, is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 47

The equation

\frac{x^{2}}{2 - r} + \frac{y^{2}}{r - 5} + 1 = 0

represents an ellipse, if

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 48

The equations of the directrices of the ellipse

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

are

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 49

If the distance between a focus and corresponding directrix of an ellipse be

8

and the eccentricity be

\frac{1}{2},

then length of the minor axis is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 50

The distance between the foci of the ellipse

3 x^{2} + 4 y^{2} = 48

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 51

Eccentricity of the ellipse whose latus rectum is equal to the distance between two focus points, is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 54

The curve represented by

x = 3 (\cos t + \sin t)

,

y = 4 (\cos t - \sin t)

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 55

The length of the axes of the conic

9 x^{2} + 4 y^{2} - 6 x + 4 y + 1 = 0

are