Let the eccentricity of an ellipse x^2 a^2 + y^2 b^2 =1 is reciprocal to that of the hyperbola 2x^2-2y^2=1....

Question

Let the eccentricity of an ellipse x^2 a^2 + y^2 b^2 =1 is reciprocal to that of the hyperbola 2x^2-2y^2=1. If the ellipse intersects the hyperbola at right angles, then square of length of the latus-rectum of the ellipse is __________.

Accepted Answer

2

JEE Main 2023 Mathematics question

Solution