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Questions  

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

a
y−x+3=0
b
y+3x−33=0
c
y+x−15=0
d
y−2x+12=0

detailed solution

Correct option is C

The equation of the normal is  y=mx−2m−m3As it passes through (9, 6)  6=9m−2m−m3⇒m3−7m+6=0⇒m=1,2,−3Showing that L is not given by (c).

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