MHT-CET

Circle question bank (Mathematics)

Practice 115 free MHT-CET Mathematics - Circle questions with answers and step-by-step solutions.

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Q1.

The equation of a circle which has a tangent $3 x+4 y=6$ and two normals given by $(x-1)(y-2)=0$ is

(A)

$(x-3)^{2}+(y-4)^{2}=5^{2}$

(B)

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

(C)

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

(D)

$x^{2}+y^{2}-2 x-4 y+5=0$

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Q2.

The angle between a pair of tangents drawn from a point 'P' to the circle $x^{2}+y^{2}+4 x-6 y+9 \sin ^{2} \alpha+13 \cos ^{2} \alpha=0$ is $2 \alpha$. The equation of the locus of the point ${ }^{'} P$ ' is

(A)

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

(B)

$x^{2}+y^{2}+4 x-6 y-9=0$

(C)

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

(D)

$x^{2}+y^{2}+4 x-6 y+9=0$

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