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
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
Updated On: Feb 21, 2026
- 137
- 143
- 147
- 157
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The Correct Option is D
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The correct option is(D): 157
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