Questions in circle

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Equation of the pair of tangents drawn from the origin to the circle ${{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0$ is
If the line $y=mx+c$ be a tangent to the circle ${{x}^{2}}+{{y}^{2}}={{a}^{2}}$ , then the point of contact is
The locus of the centre of a circle which passes through the point (a, 0) and touches the line $x+1=0$ , is
A point inside the circle ${{x}^{2}}+{{y}^{2}}+3x-3y+2=0$ is
Position of the point (1, 1) with respect to the circle ${{x}^{2}}+{{y}^{2}}-x+y-1=0$ is
The equations of the tangents to the circle ${{x}^{2}}+{{y}^{2}}=50$ at the points where the line $x+7=0$ meets it, are
If the line $y=\sqrt{3}x+k$ touches the circle ${{x}^{2}}+{{y}^{2}}=16$ , then $k =$
The equations of the tangents to the circle ${{x}^{2}}+{{y}^{2}}-6x+4y=12$ which are parallel to the straight line $4x+3y+5=0$ , are
The equations of the tangents to the circle ${{x}^{2}}+{{y}^{2}}=36$ which are inclined at an angle of ${{45}^{o}}$ to the x-axis are
A circle is given by ${{x}^{2}}+{{y}^{2}}-6x+8y-11=0$ and there are two points (0, 0) and (1, 8). These points lie

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