First slide

Parabola

Question

The line $x + y = 6$ is a normal to the parabola.
$y^{2} = 8 x$ at the point.

Moderate

A

(18, - 12)
B

(4, 2)
C

(2, 4)
D

(3, 3)

Solution

$y = - x + 6$ is a normal at the point $(a m^{2}, - 2 a m)$
where $a = 2, m = - 1 i.e., (2, 4)$ .

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