MHT-CET

10-1.Circle and System of Circles question bank (Mathematics)

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Q1.

The equation of the common tangent to the circle $x^{2}+y^{2}=2$ and the parabola $y^{2}=8x$ is $x+y=k$. Then the value of $k$ is

(A)

$1$

(B)

$-1$

(C)

$2$

(D)

$-2$

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Q2.

If one end of the diameter is $(1, 1)$ and the other end lies on the line $x+y=3$,then the locus of the centre of the circle is

(A)

$x+y=1$

(B)

$2(x-y)=5$

(C)

$2x+2y=5$

(D)

None of these

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