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A, B, C are three points on the parabola y² = 4ax. The tangents at these points taken in pairs meet at P, Q, R. Find the ratio of the area of triangle PQR to the area of triangle ABC.

1. 1:2
2. 2:1
3. 3:1
4. 4:1

Correct answer: 1:2

Solution

The triangle formed by the three tangents has exactly half the area of the triangle joining the points of contact.

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