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When t equals 1, the y-coordinate of the intersection point of the tangent at P and the normal at S to the parabola is:

1. (t² + 1)² / 2t³
2. a(t² + 1)² / 2t³
3. a(t² + 1)² / t³
4. a(t² + 2)² / t³

Correct answer: a(t² + 1)² / 2t³

Solution

The y-coordinate of the intersection point is derived from the equations of the tangent and normal to the parabola. Substituting t = 1 into the derived expression gives a(t² + 1)² / 2t³.

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