Let L be a normal to the parabola y2 = 4x. If L passes through the point (9, 6), then L is given by

Question

Accepted Answer

Correct answer: A, B, D. (a,b,d) Sol. Equation of normal is y = mx – 2m – m3 (9, 6) satisfies it 6 = 9m – 2m – m3 m3 – 7m + 6 = 0 ⇒ m = 1, 2, – 3 m = 1 ⇒ y = x – 3 m = 2 ⇒ y = 2x – 12 m = – 3 ⇒ y = – 3x + 33

$Let L be a normal to the parabola y2 = 4x. If L passes through the point (9, 6), then L is given by$

Solution

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