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

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

The circle x^2 + y^2 - 4x + 6y + c = 0 touches x axis if

Find the length of intercept, the circle x^2+y^2+10 x-6y+9=0 makes on the x-axis.

A tangent at a point on the circle x^2+y^2=a^2 intersects a concentric circle C at two points Pa n dQ . The tangents to the circle X at Pa n dQ meet at a point on the circle x^2+y^2=b^2dot Then the equation of the circle is

The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

Find the points on the circle x^2+y^2-2x+4y-20=0 which are the farthest and nearest to the point (-5,6)dot

Find the equations of the tangents to the circle x^2+y^2-6x+4y=12 which are parallel to the straight line 4x+3y+5=0

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

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.

Axis of the parabola x^2 - 3y - 6x + 6 = 0 is