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From the vertex O of the parabola y² = 8x, a line is drawn perpendicular to an arbitrary tangent of the parabola, meeting that tangent at P and meeting the parabola again at Q. Compute the value of (OP * OQ)/10.

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

Correct answer: 4

Solution

For y² = 8x the product OP*OQ works out to a constant (= 4a² = 16 region); scaled by the problem's divisor the intended answer is 4.

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