Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>EXERCISE 12.2>Q 16

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$7 y - x - 5 = 0$ touches the circle $x^{2} + y^{2} - 5 x + 5 y = 0$ . The equation of other parallel tangent is

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Important Questions on Conic Section

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>EXERCISE 12.2>Q 17

If the line

p x + q y + r = 0

touches the circle

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

then

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>EXERCISE 12.2>Q 18

Equation of circle whose centre is

(3, - 1)

and which cut off an intercept of length

6

unit from the line

2 x - 5 y + 18 = 0

is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>EXERCISE 12.3>Q 19

Area of quadrilateral formed by a pair of tangents from the point

(4, 5)

to the circle

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

and a pair of its radii is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>EXERCISE 12.3>Q 20

Equation of chord of the circle

x^{2} + y^{2} + 6 x + 8 y - 11 = 0

whose middle point is

(1, - 1)

is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>EXERCISE 12.3>Q 21

If the chord of contact of tangents drawn from a point on the circle

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

to the circle

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

touches the circle

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

, then

a, b, c

are in:

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>EXERCISE 12.3>Q 22

Tangents are drawn to the circle

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

at the points where it is met by the circle

x^{2} + y^{2} - 5 x + 3 y - 2 = 0

the point of intersection of these tangents is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>EXERCISE 12.3>Q 23

A circle cutting the circle

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

orthogonally and having its centre on the line

2 x - 2 y + 9 = 0,

passes through two fixed points. These points are

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>EXERCISE 12.3>Q 24

Consider three circles

x^{2} + y^{2} = 1, x^{2} + y^{2} - 8 x + 15 = 0, x^{2} + y^{2} + 10 y + 24 = 0 .

The point from which tangents of equal length can be drawn to all these three circles is