Question

The sum of the squares of the reciprocals of two perpendicular diameter of an ellipse is 

(a) \(\frac 14 (\frac1{a^2} + \frac1{b^2})\)

(b) \(\frac 12 (\frac1{a^2} + \frac1{b^2})\)

(c) \(\frac1{a^2} + \frac1{b^2}\)

(d) None of these

Answer 1

Correct option is (a) \(\frac 14 (\frac1{a^2} + \frac1{b^2})\)