Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 14 - Parabola>Target Exercises>Q 13

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JEE Advanced

IMPORTANT

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A circle is drawn to pass through the extremities of latus rectum of the parabola $y^{2} = 8 x$ . It is given that this circle also touches the directrix of the parabola. Radius of this circle is equal to

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Important Questions on Parabola

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 14 - Parabola>Target Exercises>Q 14

A circle having its centre at

(2, 3)

is cut orthogonally by the parabola

y^{2} = 4 x .

The possible intersection point of these curves can be

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 14 - Parabola>Target Exercises>Q 15

If the length of a focal chord of the parabola

y^{2} = 4 a x

at a distance

b

from the vertex is

c,

then

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 14 - Parabola>Target Exercises>Q 16

The angle of intersection between the curves

x^{2} = 4 (y + 1)

and

x^{2} = - 4 (y + 1)

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 14 - Parabola>Target Exercises>Q 17

The equation of a parabola is

y^{2} = 4 x

. If

P (1, 3)

and

Q (1, 1)

are two points in the

X Y

-plane. Then, for the parabola

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JEE Advanced

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 14 - Parabola>Target Exercises>Q 18

A double ordinate parabola

y^{2} = 8 p x

is of length

16 p .

The angle subtended by it at the vertex of the parabola is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 14 - Parabola>Target Exercises>Q 19

The parabola

y^{2} = k x

makes an intercept of length

4

on the line

x - 2 y = 1

, then,

k

is equal to

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 14 - Parabola>Target Exercises>Q 20

Radius of the largest circle which passes through the focus of the parabola

y^{2} = 4 x

and contained in it, is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 14 - Parabola>Target Exercises>Q 21

The condition that the straight line

l x + m y + n = 0

touches the parabola

x^{2} = 4 a y

is