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Question

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

A
yx+3=0
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B
y+3x33=0
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C
y+x15=0
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D
y2x+12=0
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Solution

The correct option is D y2x+12=0
Normal to y2=4x, is
y=mx2mm3 which passes through (9, 6).
6=9m2mm3
m37m+6=0
m=1,2,3
Equation of normals are,
yx+3=0,y+3x33=0 and y2x+12=0

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