Find the point on the ellipse `16 x^2+11 y^2=256` where the common tangent to it and the circle `x^2+y^2-2x=15` touch.

If the tangent at the point P(theta) to the ellipse 16 x^2+11 y^2=256 is also a tangent to the circle x^2+y^2-2x=15 , then theta= (a) (2pi)/3 (b) (4pi)/3 (c) (5pi)/3 (d) pi/3

Find the point on the hyperbola x^2-9y^2=9 where the line 5x+12 y=9 touches it.

If y=2x+c is tangent to the circle x^(2)+y^(2)=16 find c.

If y=4x+c is a tangent to the circle x^(2)+y^(2)=9 , find c.

Find the number of common tangent to the circles x^2+y^2+2x+8y-23=0 and x^2+y^2-4x-10 y+9=0

Find the equations to the common tangents of the circles x^2+y^2-2x-6y+9=0 and x^2+y^2+6x-2y+1=0

A common tangent to 9x^2-16y^2 = 144 and x^2 + y^2 = 9 , is

Find the equation of tangent to the conic x^2-y^2-8x+2y+11=0 at (2,1)

The tangent at any point on the ellipse 16x^(2)+25y^(2) = 400 meets the tangents at the ends of the major axis at T_(1) and T_(2) . The circle on T_(1)T_(2) as diameter passes through