Questions in circle

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The locus of mid point of the chords of the circle ${{x}^{2}}+{{y}^{2}}-2x-2y-2=0$ which makes an angle of $120{}^\circ $ at the centre is
If the circle ${{x}^{2}}+{{y}^{2}}={{a}^{2}}$ cuts off a chord of length 2b from the line $y=mx+c$ , then
The pole of the straight line $9x+y-28=0$ with respect to circle $2{{x}^{2}}+2{{y}^{2}}-3x+5y-7=0$ , is
If polar of a circle ${{x}^{2}}+{{y}^{2}}={{a}^{2}}$ with respect to $(x',y')$ is $Ax+By+C=0$ , then its pole will be
The polar of the point (5, –1/2) w.r.t circle ${{(x-2)}^{2}}+{{y}^{2}}=4$ is
The pole of the line $2x+3y=4$ w.r.t circle ${{x}^{2}}+{{y}^{2}}=64$ is
The length of the common chord of the circles ${{x}^{2}}+{{y}^{2}}+2x+3y+1=0$ and ${{x}^{2}}+{{y}^{2}}+4x+3y+2=0$ is
The length of the chord joining the points in which the straight line $\frac{x}{3}+\frac{y}{4}=1$ cuts the circle ${{x}^{2}}+{{y}^{2}}=\frac{169}{25}$ is
Which of the following is a point on the common chord of the circles ${{x}^{2}}+{{y}^{2}}+2x-3y+6=0$ and ${{x}^{2}}+{{y}^{2}}+x-8y-13=0$
If the circle ${{x}^{2}}+{{y}^{2}}=4$ bisects the circumference of the circle ${{x}^{2}}+{{y}^{2}}-2x+6y+a=0$ , then a equals

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