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 o* Q.

Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/4=1 touching the ellipse at point A and B. Q. The orthocenter of the trianlge PAB is

Let E_1 be the ellipse x^2/(a^2+2)+y^2/b^2=1 and E_2 be the ellipse x^2/a^2+y^2/(b^2+1)=1 . The number of points from which two perpendicular tangents can be drawn to each of E_1 and E_2 is

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

Angle between the tangents drawn from point (4, 5) to the ellipse x^2/16 +y^2/25 =1 is

If the tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 makes intercepts p and q on the coordinate axes, then a^(2)/p^(2) + b^(2)/q^(2) =

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.