Tangents drawn to circle `(x-1)^2 +(y -1)^2= 5 `at point P meets the line `2x +y+ 6= 0` at Q on the axis. Length PQ is equal to

Tangents drawn to circle (x-1)^2 +(y -1)^2= 5 at point P meets the line 2x +y+ 6= 0 at Q on the x axis. Length PQ is equal to

If the tangent at the point P on the circle x^2+y^2+6x + 6y = 2 meets the straight line 5x- 2y + 6 = 0 at a point Q on the y-axis, then the length of PQ is:

If the tangent at a point P on the circle x^2 + y^2 + 6x + 6y = 2 , meets the straight line 5x- 2y + 6 = 0 at a point Q on the y-axis, then the length of PQ 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.

Let the locus of the mid point of the chords of the circle x^2+(y-1)^2= drawn from the origin intersects the line x+y=1 at P and Q. Then the length of PQ is

If the tangent at the point P on the circle x^2+y^2+6x+6y=2 meets the straight line 5x - 2y + 6 = 0 at a point on the y-axis, then the length of PQ is