MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 7

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The equation of the circle with centre at $(1, - 2)$ and passing through the centre of the given circle $x^{2} + y^{2} + 2 y - 3 = 0,$ is

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Important Questions on Circle and Conics

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 8

The equation of the circle concentric with the circle

x^{2} + y^{2} - 4 x - 6 y - 3 = 0

and touching

Y -

axis, is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 9

Equation of the circle which touches the lines

x = 0, y = 0

and

3 x + 4 y = 4

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 10

The equation of the circle whose radius is

5

and which touches the circle

x^{2} + y^{2} - 2 x - 4 y - 20 = 0

externally at the point

(5, 5),

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 11

A circle is concentric with the circle

x^{2} + y^{2} - 6 x + 12 y + 15 = 0

and has area double of its area. The equation of the circle is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 12

The equation of the circle passing through the point

(2, 1)

and touching

Y -

axis at the origin is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 14

If a circle passes through the point

(0, 0),

(a, 0),

(0, b),

then its centre is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 15

For what value of

k,

the points

(0, 0),

(1, 3),

(2, 4)

and

(k, 3)

are con-cyclic

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 5 - Circle and Conics>Critical Thinking>Q 16

The centre and radius of a circle given by equation

x = 2 + 3 \cos θ, y = 3 - 3 \sin θ

are