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 33

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The equation of the latus rectum of the parabola represented by equation $y^{2} + 2 A x + 2 B y + C = 0,$ 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 34

The length of the latus-rectum of the parabola whose focus is

(\frac{u^{2}}{2 g} \sin 2 α, - \frac{u^{2}}{2 g} \cos 2 α)

and directrix is

y = \frac{u^{2}}{2 g}

, 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 35

The coordinates of a point on

2 y^{2} = 7 x

whose parameter is

- 2

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 36

x - 2 = t^{2}, y = 2 t

are the parametric equations of the parabola

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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 37

The parametric representation

(2 + t^{2}, 2 t + 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>Critical Thinking>Q 38

The equation of the ellipse whose centre is at origin and which passes through the points

(- 3, 1)

and

(2, - 2)

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 39

The locus of a variable point whose distance from

(- 2, 0)

is

\frac{2}{3}

times its distance from the line

x = - \frac{9}{2}

, 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 40

The equation of the ellipse whose centre is

(2, - 3),

one of the foci is

(3, - 3)

and the corresponding vertex is

(4, - 3),

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 41

The equation of the ellipse whose vertices are

(\pm 5, 0)

and foci are

(\pm 4, 0)

is