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The common tangents to the circle x² + y² = 2 and the parabola y² = 8x touch the circle at points P and Q and the parabola at points R and S. Find the area of quadrilateral PQRS.
- 3
- 6
- 9
- 15
Correct answer: 15
Solution
The common tangents are y = ±(x + 2); the contact points form a trapezium whose area evaluates to 15.
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