If the circle `x^(2)+y^(2)-2x-6y = r^(2)-10` is tangent to the line 12y = 60 , the value of r is

If the chord of contact of the tangents from the point (alpha, beta) to the circle x^(2)+y^(2)=r_(1)^(2) is a tangent to the circle (x-a)^(2)+(y-b)^(2)=r_(2)^(2) , then

If the chord of contact of the tangents from the point (alpha, beta) to the circle x^(2)+y^(2)=r_(1)^(2) is a tangent to the circle (x-a)^(2)+(y-b)^(2)=r_(2)^(2) , then

Find the equations of the two tangents to the circle x^(2) +y^(2)- 8x - 10y - 8 = 0 which are perpendicular to the line 5x - 12y = 2.

If the line y=2x+c is a tangent to the circle x^(2)+y^(2)=5 then a value of c is

If the line y=2x+c is a tangent to the circle x^(2)+y^(2)=5 then a value of c is

There are two perpendicular lines, one touches to the circle x^(2) + y^(2) = r_(1)^(2) and other touches to the circle x^(2) + y^(2) = r_(2)^(2) if the locus of the point of intersection of these tangents is x^(2) + y^(2) = 9 , then the value of r_(1)^(2) + r_(2)^(2) is.