A tangent is drawn to the ellipse to cut the ellipse `x^2/a^2+y^2/b^2=1` and to cut the ellipse `x^2/c^2+y^2/d^2=1` at the points P and Q. If the tangents are at right angles, then the value of `(a^2/c^2)+(b^2/d^2)` is

A tangent is drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 to cut the ellipse (x^(2))/(c^(2))+(y^(2))/(d^(2))=1 at the points P and Q . If tangents at P and Q to the ellipse (x^(2))/(c^(2))+(y^(2))/(d^(2))=1 intersect at right angle then prove that (a^(2))/(c^(2))+(b^(2))/(d^(2))=1

A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P&Q.

A tangent to the ellipse x^(2)+4y^(2)=4 meets the ellipse x^(2)+2y^(2)=6 at P o* Q.

A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P&Q.Prove that the tangents at P and Q of the ellipse x^2+2y^2=6 are right angle.

Find the equation of the tangent to the ellipse x^2/a^2+y^2/b^2=1 at (x= 1,y= 1) .

Tangents are drawn from the point P(3, 4) to the ellipse x^2/9+y^2/4=1 touching the ellipse at points A and B.

If the ellipse x^2/a^2+y^2/b^2=1 (b > a) and the parabola y^2 = 4ax cut at right angles, then eccentricity of the ellipse is

The condition that the line x/p+y/q=1 to be a tangent to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 is

Show that the tangent to the ellipse x^2/a^2+y^2/b^2=1 at points whose eccentric angles differ by pi/2 intersect on the ellipse x^2/a^2+y^2/b^2=2