First slide

Parabola

Question

Let L be a normal to the parabola y² = 4x. If L passes through the point (9, 6), then L is not given by

Moderate

A

y- x+3 = 0
B

y+ 3x-33 = 0
C

y+x - 15 = 0
D

y-2x + 12 = 0

Solution

The equation of the normal is y =mx- 2m -m³.
As it passes through (9, 6)
6 =9m-2m -m³ $\Rightarrow$ m³-7m +6 =0
$\Rightarrow$ m =1,2,-3.
Showing that L is not given by (c).

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