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Question: For the hyperbola \(\frac{x^{2}}{\cos^{2}\alpha} - \frac{y^{2}}{\sin^{2}\alpha}\) = 1 which of the f...

For the hyperbola x2cos2αy2sin2α\frac{x^{2}}{\cos^{2}\alpha} - \frac{y^{2}}{\sin^{2}\alpha} = 1 which of the following remains constant with change in 'a' ?

A

Abscissae of vertices

B

Abscissae of foci

C

Eccentricity

D

Directrix

Answer

Abscissae of foci

Explanation

Solution

a = cosa, b = sina Ž e = seca

x coordinate of foci 1.