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JEE Main 2026 Mathematics question

MathematicsHyperbolaJEE Main 2026

Let O be the origin, and P and Q be two points on the rectangular hyperbola xy = 12 such that the mid point of the line segment PQ is . Then the area of the triangle OPQ equals:

Answer: (C)

Solution

With P = (t, 12/t), Q = (s, 12/s): t + s = 1 and ts = −12. Area = 6|t² − s²|/|ts|

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Question ID VK-015120