Questions in circle

Select	Question
	The point of contact of the tangent to the circle ${{x}^{2}}+{{y}^{2}}=5$ at the point (1, –2) which touches the circle ${{x}^{2}}+{{y}^{2}}-8x+6y+20=0$ , is
	The normal to the circle ${{x}^{2}}+{{y}^{2}}-3x-6y-10=0$ at the point (–3, 4), is
	A tangent to the circle ${{x}^{2}}+{{y}^{2}}=5$ at the point $(1,–2)$..... the circle ${{x}^{2}}+{{y}^{2}}-8x+6y+20=0$
	The line $y=x+c$ will intersect the circle ${{x}^{2}}+{{y}^{2}}=1$ in two coincident points, if
	Which of the following lines is a tangent to the circle ${{x}^{2}}+{{y}^{2}}=25$ for all values of m
	Square of the length of the tangent drawn from the point $(\alpha ,\beta )$ to the circle $a{{x}^{2}}+a{{y}^{2}}={{r}^{2}}$ is
	The points of contact of the circle ${{x}^{2}}+{{y}^{2}}+2x+2y+1=0$ and the co-ordinate axes are
	$y-x+3=0$ is the equation of normal at $\left( 3+\frac{3}{\sqrt{2}},\frac{3}{\sqrt{2}} \right)$ to which of the following circles
	If the straight line $y=mx+c$ touches the circle ${{x}^{2}}+{{y}^{2}}-2x-4y+3=0$ at the point $(2, 3)$, then $c =$
	Length of the tangent from $({{x}_{1}},{{y}_{1}})$ to the circle ${{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0$ is