Questions in circle

Select	Question
	If ${{c}^{2}}>{{a}^{2}}(1+{{m}^{2}}),$ then the line $y=mx+c$ will intersect the circle ${{x}^{2}}+{{y}^{2}}={{a}^{2}}$
	The straight line $x-y-3=0$ touches the circle ${{x}^{2}}+{{y}^{2}}-4x+6y+11=0$ at the point whose co-ordinates are
	The line $y=mx+c$ will be a normal to the circle with radius r and centre at (a, b), if
	The point at which the normal to the circle ${{x}^{2}}+{{y}^{2}}+4x+6y-39=0$ at the point (2, 3) will meet the circle again, is
	The equation of the normal to the circle ${{x}^{2}}+{{y}^{2}}-2x=0$ parallel to the line $x+2y=3$ is
	The equation of the tangent at the point $\left( \frac{a{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}},\frac{{{a}^{2}}b}{{{a}^{2}}+{{b}^{2}}} \right)$ of the circle ${{x}^{2}}+{{y}^{2}}=\frac{{{a}^{2}}{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}}$ is
	If a line passing through origin touches the circle ${{(x-4)}^{2}}+{{(y+5)}^{2}}=25$ , then its slope should be
	Two tangents drawn from the origin to the circle ${{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0$ will be perpendicular to each other, if
	Length of the tangent drawn from any point on the circle ${{x}^{2}}+{{y}^{2}}+2gx+2fy+{{c}_{1}}=0$ to the circle ${{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0$ is
	The equations of the tangents to the circle ${{x}^{2}}+{{y}^{2}}=13$ at the points whose abscissa is 2, are