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

If the tangent at the point (4 cos theta, (16)/(sqrt(11)) sin theta) to the ellipse 16x^(2) + 11y^(2) = 256 is also a tangent to the circle x^(2) + y^(2) - 2x - 15 = 0 , then the value of theta , is

if the tangent at the point (4 cos phi , (16)/(sqrt(11) )sin phi ) to the ellipse 16x^(2)+11y^(2) =256 Is also a tangent to the circle x^(2) +y^(2)-2x=15, then the value of phi is

Find the number of common tangents to the circles x^2+y^2=4 and x^2+y^2-6x-8y=24

The number of common tangents to the circles x^(2)+y^(2)-x=0 and x^(2)+y^(2)+x=0 are

The number of common tangents to the circles x^(2)+y^(2)-y=0and x^(2)+y^(2)+y=0 is

Find the points on the circle x^2+y^2=16 at which the tangents are perpendicular to the y-axis and the x-axis.