[" Tangents one to each of the ellipses "(x^(2))/(c^(2))+(y^(2))/(8)=1" and "(x^(2))/(a^(1)+2)+(y^(2))/(b^(1)+lambda)-1" are drawn.If the tangent meet at "],[" right angles then the locus of their point of intersection is "]

Tangents,one to each of the ellipses (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and (x^(2))/(a^(2)+lambda)+(y^(2))/(b^(2)+lambda)=1 are drawn Tangents,If the tangents meet at right angles then the locus of their point of intersection is

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

Two tangents are drawn to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 such that product of their slope is c^(2) the locus of the point of intersection is

Show that the tangents drawn at those points of the ellipse (x^(2))/(a)+(y^(2))/(b)=(a+b) , where it is cut by any tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , intersect at right angles.

Show that the tangents drawn at those points of the ellipse (x^(2))/(a)+(y^(2))/(b)=(a+b) , where it is cut by any tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , intersect at right angles.

If the tangents from the point (lambda,3) to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 are at right angles then lambda is

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 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 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

The locus of the point of intersection of perpendicular tangents to x^(2)/a^(2) + y^(2)/b^(2) = 1 and (x^(2))/(a^(2) + lambda) + (y^(2))/(b^(2) + lambda) = 1 , is