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 129

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Earn 100

The eccentricity of the conic $x^{2} - 4 y^{2} = 1$ is

50% studentsanswered this correctly

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 131

The eccentricity of a hyperbola passing through the points

(3, 0), (3 \sqrt{2}, 2)

will be

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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 132

The eccentricity of the hyperbola whose length of the latus rectum is equal to

8

and the length of its conjugate axis is equal to half of the distance between its foci, is

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IMPORTANT

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 133

If the eccentricities of the hyperbolas

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

and

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

be

e

and

e_{1}

, then

\frac{1}{e^{2}} + \frac{1}{e_{1}^{2}} =

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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 134

The difference of the focal distance of any point on the hyperbola

9 x^{2} - 16 y^{2} = 144

, is

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IMPORTANT

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 135

The distance between the directrices of a rectangular hyperbola is

10

units, then distance between its foci 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 136

If

t

is a parameter, then

x = a (t + \frac{1}{t}), y = b (t - \frac{1}{t})

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 137

x^{2} - 4 y^{2} - 2 x + 16 y - 40 = 0

represents

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IMPORTANT

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 138

The locus of the point of intersection of the lines

\sqrt{3} x - y - 4 \sqrt{3} k = 0

and

\sqrt{3} k x + k y - 4 \sqrt{3} = 0

for different values of

k

is a/an