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

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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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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 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

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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 56

The co-ordinates of the foci of the ellipse

3 x^{2} + 4 y^{2} - 12 x - 8 y + 4 = 0

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 57

The eccentricity of the ellipse

4 x^{2} + 9 y^{2} + 8 x + 36 y + 4 = 0

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 58

An ellipse is described by using an endless string which is passed over two pins. If the axes are

6 cm

and

4 cm,

the necessary length of the string and the distance between the pins respectively in

cm,

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 59

The length of the transverse axis of a hyperbola is

7

and it passes through the point

(5, - 2)

. The equation of the hyperbola is