Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>EXERCISE 12.4>Q 33

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Locus of the foot of perpendicular drawn from a fixed point $(10, 0)$ on the $x$ -axis to any tangent to the circle $x^{2} + y^{2} = 16$ 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 12.4>Q 34

The tangent at any point on circle

x^{2} + y^{2} = (\sqrt{2})^{2}

cuts the axes in

L

and

M,

then locus of midpoint of

L M

is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>EXERCISE 12.4>Q 35

A triangle has two of its sides along the axes, its third side touches the circle

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

locus of circumcentre of triangle is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>EXERCISE 12.4>Q 36

The point

A (2, 4)

is joined to any point

P

of the circle

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

.The locus of midpoint of

A P

as

P

moves on circle is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>EXERCISE 12.4>Q 37

Four distinct points

(0, 0), (0, 1), (1, 0), (2 k, 3 k)

lie on a circle. Then the value of

k

is

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>EXERCISE 12.4>Q 38

The circle

x^{2} + y^{2} - 6 x - 10 y + k = 0

does not touch or intersect the

x

-axis and the point

(1, 4)

lies inside the circle, then

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 1

Find the centre and radius of the circle

(x + 1)^{2} + (y + 3)^{2} = 16

.

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 3

Find the equation of the circle with centre at

(2, 3)

and diameter as

8

units.

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Gamma Question Bank for Engineering Mathematics>Chapter 14 - Conic Section>Assignment>Q 4

Find the centre and radius of the circle

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