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Let P , 7 6 , 7 3 2         Q, R and S be four points on the ellipse 9x 2 + 4y 2 = 36. Let PQ and RS be mutually perpendicular and pass through the origin. If     , q P RS 1 PQ 1 2 2   where p and q are coprime, then p + q is equal to

1. 147
2. 143
3. 137
4. 157

Correct answer: 157

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