question_answer

If \[\frac{x}{a}Sin\theta -\frac{y}{b}Cos\theta =1and\frac{x}{a}\ Cos\theta +\frac{y}{b}Sin\theta =1\]then the value of \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}\]is

A) 2                     

B) \[\frac{1}{a}+\frac{1}{b}\]

C) \[\sqrt[4]{4ab}\] 

D) 0

E) None of these