Class 11

Math

Co-ordinate Geometry

Hyperbola

An ellipse and a hyperbola are confocal (have the same focus) and the conjugate axis of the hyperbola is equal to the minor axis of the ellipse. If $e_{1}ande_{2}$ are the eccentricities of the ellipse and the hyperbola, respectively, then prove that $e121 +e221 =2$ .