Questions in circle

Select	Question
	The point $(0.1, 3.1)$ with respect to the circle ${{x}^{2}}+{{y}^{2}}-2x-4y+3=0$ , is
	The points of intersection of the line $4x-3y-10=0$ and the circle ${{x}^{2}}+{{y}^{2}}-2x+4y-20=0$ are
	The equation of the tangent to the circle ${{x}^{2}}+{{y}^{2}}={{r}^{2}}$ at $(a,b)$ is $ax+by-\lambda =0$ , where $\lambda $ is
	If the centre of a circle is (–6, 8) and it passes through the origin, then equation to its tangent at the origin, is
	The line $y=mx+c$ intersects the circle ${{x}^{2}}+{{y}^{2}}={{r}^{2}}$ at two real distinct points, if
	The locus of the point of intersection of the tangents at the extremities of a chord of the circle ${{x}^{2}}+{{y}^{2}}={{a}^{2}}$ which touches the circle ${{x}^{2}}+{{y}^{2}}=2ax$ is
	The equation of pair of tangents to the circle ${{x}^{2}}+{{y}^{2}}-2x+4y+3=0$ from $(6,-5)$ , is
	If OA and OB are the tangents from the origin to the circle ${{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0$ and C is the centre of the circle, the area of the quadrilateral $OACB$ is
	The values of constant term in the equation of circle passing through $(1, 2)$ and $(3, 4)$ and touching the line $3x+y-3=0$ , is
	The gradient of the tangent line at the point $(a\cos \alpha ,a\sin \alpha )$ to the circle ${{x}^{2}}+{{y}^{2}}={{a}^{2}}$ , is