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One end of a focal chord AB of the parabola y² = 8x is A(1/2, -2). Find the equation of the tangent to the parabola at the other end B.
- 2x + y - 24 = 0
- x - 2y + 8 = 0
- 2x - y - 24 = 0
- x + 2y + 8 = 0
Correct answer: x - 2y + 8 = 0
Solution
Point A corresponds to t = -1/2; the focal chord property gives t_B = 2, and the tangent at B simplifies to x - 2y + 8 = 0.
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