Question

Let $P(\frac{2√3}{√7} ,\frac{ 6}{√7} ),$Q,R and S be four points on the ellipse 9x2 + 4y2 = 36. Let PQ and RS be mutually perpendicular and pass through the origin. If $\frac{1}{( P Q ) ^2} + \frac{1}{( R S ) ^2} = \frac{P}{q }$, where p and q are coprime, then p + q is equal to

• A. 137
• B. 143
• C. 147
• D. 157

Answer 1

Answer: (D)

157

Answer 2

The correct option is(D): 157