Question:medium
Let O be the origin, and P and Q be two points on the rectangular hyperbola \( xy = 12 \) such that the midpoint of the line segment PQ is \( \left( \frac{1}{2}, -\frac{1}{2} \right) \). Then the area of the triangle OPQ equals:
Let O be the origin, and P and Q be two points on the rectangular hyperbola \( xy = 12 \) such that the midpoint of the line segment PQ is \( \left( \frac{1}{2}, -\frac{1}{2} \right) \). Then the area of the triangle OPQ equals:
Updated On: Apr 10, 2026
- \( \frac{3}{2} \)
- \( \frac{5}{2} \)
- \( \frac{7}{2} \)
- \( \frac{9}{2} \)
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The Correct Option is B
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