question_answer

PP' is a diameter of the ellipse \[{{b}^{2}}{{x}^{2}}+{{a}^{2}}{{y}^{2}}={{a}^{2}}{{b}^{2}}\]such that \[PP{{'}^{2}}\] is the arithmetic mean of the squares of the major and minor axes. Then the slope of PP' is

A)  \[\frac{\pi }{3}\]                                   

B)  \[\frac{a}{b}\]

C)  \[\frac{\pi }{4}\]                                   

D)  \[\frac{b}{a}\]

E)  None of these