MATHEMATICS for CLASS XI>Chapter 27 - Hyperbola>EXERCISE 27.1>Q 8

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11th CBSE

IMPORTANT

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Find the eccentricity of the hyperbola, the length of whose conjugate axis is $\frac{3}{4}$ of the length of transverse axis.

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Important Questions on Hyperbola

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11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 27 - Hyperbola>EXERCISE 27.1>Q 9

Find the equation of the hyperbola whose focus is at

(5, 2)

, vertex at

(4, 2)

and centre at

(3, 2)

.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 27 - Hyperbola>EXERCISE 27.1>Q 9

Find the equation of the hyperboala whose focus is at

(4, 2)

, centre at

(6, 2)

and

e = 2

.

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11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 27 - Hyperbola>EXERCISE 27.1>Q 10

If

P

is any point on the hyperbola whose axis are equal, prove that

S P . S^{'} P = C P^{2}

.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 27 - Hyperbola>EXERCISE 27.1>Q 11

Find the equation of the hyperbola satisfying the given conditions:

vertices $(\pm 2, 0)$ , foci $(\pm 3, 0)$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 27 - Hyperbola>EXERCISE 27.1>Q 11

Find the equation of the hyperbola satisfying the given conditions:

vertices $(0, \pm 5)$ , foci $(0, \pm 8)$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 27 - Hyperbola>EXERCISE 27.1>Q 11

Find the equation of the hyperbola satisfying the given conditions:

vertices $(0, \pm 3)$ , foci $(0, \pm 5)$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 27 - Hyperbola>EXERCISE 27.1>Q 11

Find the equations of the hyperbola satisfying the given conditions:

foci $(\pm 5, 0)$ , transverse axis $= 8$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 27 - Hyperbola>EXERCISE 27.1>Q 11

Find the equation of the hyperbola satisfying the given conditions:

foci $(0, \pm 13)$ , conjugate axis $= 24$