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MathsJEE Main 2 Apr 2026, Shift 2·Q11·MCQ·Moderate

Conic Sections · Chord of rectangular hyperbola

Let OO be the origin, and PP and QQ be two points on the rectangular hyperbola xy=12xy = 12 such that the mid point of the line segment PQPQ is (12,−12)\left(\dfrac12, -\dfrac12\right). Then the area of the triangle OPQOPQ equals:
  1. (1)32\dfrac32
  2. (2)52\dfrac52
  3. (3)72\dfrac72
  4. (4)92\dfrac92

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