Prove that the eccentricity of a rectangular hyperbola is equal to `sqrt2`.

The eccentricity of rectangular hyperbola is sqrt(2)

Hyperbola- Rectangular hyperbola

The eccentricity of the hyperbola can never be equal to

Eccentricity of the a hyperbola can never be equal to

Statement-I A hyperbola whose asymptotes include (pi)/(3) is said to be equilateral hyperbola. Statement-II The eccentricity of an equilateral hyperbola is sqrt(2).

Prove that the perpendicular focal chords of a rectangular hyperbola are equal.

Statement-I If eccentricity of a hyperbola is 2, then eccentricity of its conjugate hyperbola is (2)/(sqrt(3)) . Statement-II if e and e_1 are the eccentricities of two conjugate hyperbolas, then ee_1gt1 .

Important points on eccentricity || Rectangular hyperbola || Condition OF tangency || Position OF a point || equation OF tangent