Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 16 - Hyperbola>Target Exercises>Q 27

EASY

JEE Advanced

IMPORTANT

Earn 100

The eccentricity of the rectangular hyperbola is

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Important Questions on Hyperbola

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 16 - Hyperbola>Target Exercises>Q 28

The angle between the asymptotes of

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

is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 16 - Hyperbola>Target Exercises>Q 29

The equation of the asymptotes of the hyperbola

2 x^{2} + 5 x y + 2 y^{2} - 11 x - 7 y - 4 = 0

is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 16 - Hyperbola>Target Exercises>Q 30

The asymptotes of a hyperbola having centre at the point

(1, 2)

are parallel to the lines

2 x + 3 y = 0

and

3 x + 2 y = 0

. If the hyperbola passes through the point

(5, 3)

, then its equation is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 16 - Hyperbola>Target Exercises>Q 31

The equation of the hyperbola whose asymptotes are the straight lines

3 x - 4 y + 7 = 0

and

4 x + 3 y + 1 = 0

and which passes through the origin, is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 16 - Hyperbola>Target Exercises>Q 32

Two concentric hyperbolas, whose axes meet at angle of

45^{°}

, cut

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 16 - Hyperbola>Target Exercises>Q 33

The number of triangles which can be inscribed in the rectangular hyperbola

x y = c^{2}

and whose all sides touch the parabola

y^{2} = 4 a x

, is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 16 - Hyperbola>Target Exercises>Q 34

If

(x - 1) (y - 2) = 5

and

{(x - 1)}^{2} + {(y + 2)}^{2} = r^{2}

intersect at four points

A, B, C, D

and centroid of

Δ A B C

lies on line

y = 3 x - 4

, then locus of

D

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 16 - Hyperbola>Target Exercises>Q 35

If foci of hyperbola lie on

y = x

and one of the asymptotes is

y = 2 x

, then equation of the hyperbola, given that it passes through

(3, 4)

, is