Slope of tangent to the circle `(x-r)^2+y^2=r^2` at the point`(x. y)` lying on the circle is

If tangents are drawn to the circle x^2 +y^2=12 at the points where it intersects the circle x^2+y^2-5x+3y-2=0 , then the coordinates of the point of intersection of those tangents are

The equation of the line parallel to the tangent to the circle x^(2)+y^(2)=r^(2) at the point (x_(1),y_(1)) and passing through origin is

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

The common tangents to the circle x^(2)+y^(2)=2 and the parabola y^(2)=8x touch the circle at the points P, Q and the parabola at the points R, S. Then the area of the quadrilateral PQSR is

The common tangents to the circle x^2=y^2=2 and the parabola y^(2)=8x touch the circle at the points P,Q and the parabola at the points R,S. Then, the area (in sq units) of the quadrilateral PQRS is

If the tangents are drawn to the circle x^(2)+y^(2)=12 at the point where it meets the circle x^(2)+y^(2)-5x+3y-2=0, then find the point of intersection of these tangents.

If the normals of the parabola y^2=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^2 +(y+2)^2=r^2 , then the value of r^2 is