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 -m3.As it passes through (9, 6)6 =9m-2m -m3 ⇒m3-7m +6 =0⇒m =1,2,-3.Showing that L is not given by (c).Talk to our academic expert!
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Locus of the point of intersection of the normals to the parabola which are at right angles is
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