MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Classical Thinking>Q 63

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The latus rectum of the hyperbola $16 x^{2} - 9 y^{2} = 144,$ 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>Classical Thinking>Q 64

The length of the latus rectum of the hyperbola

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

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>Classical Thinking>Q 65

A point on the curve

\frac{x^{2}}{A^{2}} - \frac{y^{2}}{B^{2}} = 1

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>Classical Thinking>Q 66

The distance between the directrices of the hyperbola

x = 8 \sec θ, y = 8 \tan θ

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>Classical Thinking>Q 67

Centre of the hyperbola

9 x^{2} - 36 x - 16 y^{2} + 96 y - 252 = 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>Classical Thinking>Q 68

The eccentricity of the hyperbola

5 x^{2} - 4 y^{2} + 20 x + 8 y = 4

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>Classical Thinking>Q 69

The equation

x = \frac{e^{t} + e^{- t}}{2}, y = \frac{e^{t} - e^{- t}}{2}, t \in R

, 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>Classical Thinking>Q 70

The auxiliary equation of circle of hyperbola

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

, 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 1

Radius of the circle

x^{2} + y^{2} + 2 x \cos θ + 2 y \sin θ - 8 = 0

, is