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