Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 5

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The total number of possible tangents and normals from any point to a circle cannot be

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Important Questions on Conic Section

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 6

The length of intercept on the straight line

3 x + 4 y - 1 = 0

by the circle

x^{2} + y^{2} - 6 x - 6 y - 7 = 0

is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 7

Circles are drawn through the point

(2, 0)

to cut intercept of length

5

units on

x

-axis. If their centre lies in the first quadrant, then their equation is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 8

Two vertices of an equilateral triangle are

(- 1, 0)

and

(1, 0)

and its third vertex lies above the

x

-axis. The equation of circumcircle is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 9

The centre of a circle passing through the origin and cutting of intercepts

3

and

4

on the

x

and

y

-axes is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 10

The co-ordinates of a point

P

, which lies on the circle

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

in such a way that

O P

is minimum, are

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 11

The number of points

(a + 1, a)

where

a \in I

, lying inside the region bounded by the circles

x^{2} + y^{2} - 2 x - 1 = 0

and

x^{2} + y^{2} - 2 x - 15 = 0

is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 12

Four distinct points

(a, \frac{1}{a}), (b, \frac{1}{b}), (c, \frac{1}{c})

and

(d, \frac{1}{d})

lies on a circle, where

a, b, c, d \neq 0

then the value of

a b c d

is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 13

If from any point

P

on the circle

x^{2} + y^{2} + 2 g x + 2 f y + c = 0

, tangents are drawn to the circle

x^{2} + y^{2} + 2 g x + 2 f y + c \sin^{2} θ + (g^{2} + f^{2}) \cos^{2} θ = 0

, then the angle between the tangents is