If the length tangent drawn from the point (5, 3) to the circle `x^2+y^2+2x+k y+17=0` is 7, then find the value of `kdot`

If two perpendicular tangents can be drawn from the origin to the circle x^2-6x+y^2-2p y+17=0 , then the value of |p| is___

Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x^2+16 y^2=144.

Find the length of the tangent from (2,-3) to the circle x^(2) + y^(2) -8y -9y + 12=0

If the chord of contact of the tangents drawn from the point (h , k) to the circle x^2+y^2=a^2 subtends a right angle at the center, then prove that h^2+k^2=2a^2dot

A pair of tangents are drawn from the origin to the circle x^2+y^2+20(x+y)+20=0 . Then find its equations.

An infinite number of tangents can be drawn from (1,2) to the circle x^2+y^2-2x-4y+lambda=0 . Then find the value of lambda

If the circle x^2+y^2=1 is completely contained in the circle x^2+y^2+4x+3y+k=0 , then find the values of kdot

If y = 2sqrt2x+c is a tangent to the circle x^(2) +y^(2) = 16 , find the value of c.

Find the greatest distance of the point P(10 ,7) from the circle x^2+y^2-4x-2y-20=0

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.