Question

Let the eccentricity of an ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, is reciprocal to that of the hyperbola 2x2-2y2=1. if the ellipse intersects the hyperbola at right angles, then square of length of the latus-rectum of the ellipse is___.

Answer 1

The correct answer is: 2