MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Competitive Thinking>Q 119

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The equation of the hyperbola with vertices $(0, \pm 15)$ and foci $(0, \pm 20)$ 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>Competitive Thinking>Q 120

The equation of the hyperbola whose foci are

(- 2, 0)

and

(2, 0)

and eccentricity is

2

is given by

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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>Competitive Thinking>Q 121

The distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt{2}$ . Then, its equation is

(Assume the hyperbola to be standard hyperbola having transverse axis along the x-axis.)

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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>Competitive Thinking>Q 122

The equation of hyperbola whose coordinates of the foci are

(\pm 8, 0)

and the length of latus rectum is

24

units, 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>Competitive Thinking>Q 123

The foci of the hyperbola

16 x^{2} - 9 y^{2} - 64 x + 18 y - 90 = 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>Competitive Thinking>Q 124

If

\frac{x^{2}}{36} - \frac{y^{2}}{k^{2}} = 1

is a hyperbola, then which of the following statements can be true?

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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>Competitive Thinking>Q 125

The equation

\frac{x^{2}}{12 - k} + \frac{y^{2}}{8 - k} = 1

represents

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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>Competitive Thinking>Q 126

Which of the following is the equation of a hyperbola?

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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>Competitive Thinking>Q 127

The length of transverse axis of the hyperbola

3 x^{2} - 4 y^{2} = 32

is