Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 20

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If equation of one tangent drawn from $(0, 0)$ to the circle with centre $(2, 4)$ is $4 x + 3 y = 0$ , then equation of the other tangent from $(0, 0)$ is

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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 21

The area of the triangle formed by the tangents from the point

(4, 3)

to the circle

x^{2} + y^{2} = 9

and the line joining their points of contact is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 22

If two tangents are drawn from a point to the circle

x^{2} + y^{2} = 32

to the circle

x^{2} + y^{2} = 16

, then the angle between the tangents is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 23

The equation of one of the circles which touch the pair of lines

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

is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 24

The equations of common tangents to the circles

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

and

{(x - 1)}^{2} + {(y - 3)}^{2} = 4

are

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 25

If the circle

x^{2} + y^{2} + 4 x + 2 y + c = 0

bisects the circumference of the circle

x^{2} + y^{2} - 2 x - 8 y - d = 0

, then

c + d =

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 26

The length of the common chord of the circles

x^{2} + y^{2} + 2 x + 3 y + 1 = 0

and

x^{2} + y^{2} + 4 x + 3 y + 2 = 0

is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 27

The distance between the chords of contact of the tangents to the circle

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

from the origin and from the point

(g, f)

is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 28

Through a fixed point

(h, k)

secants are drawn to the circle

x^{2} + y^{2} = a^{2}

. The locus of the mid points of the secants intercepted by the given circle is