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 the circle whose diameter is common chord to the circles $x^{2}+y^{2}+2 a x+c=0$ and $x^{2}+y^{2}+2 b y+c=0$ is

(A)

$x^{2}+y^{2}-\frac{2 a b^{2}}{a^{2}+b^{2}} x+\frac{2 a^{2} b}{a^{2}+b^{2}} y+c=0$

(B)

$x^{2}+y^{2}-\frac{2 a b^{2}}{a^{2}+b^{2}} x-\frac{2 a^{2} b}{a^{2}+b^{2}} y+c=0$

(C)

$x^{2}+y^{2}+\frac{2 a b^{2}}{a^{2}+b^{2}} x+\frac{2 a^{2} b}{a^{2}+b^{2}} y+c=0$

(D)

$x^{2}+y^{2}+\frac{2 a b^{2}}{a^{2}+b^{2}} x-\frac{2 a^{2} b}{a^{2}+b^{2}} y+c=0$

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Q2.

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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