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Question: Three normals to the parabola y<sup>2</sup> = x are drawn through a point (c, 0) then...

Three normals to the parabola y2 = x are drawn through a point (c, 0) then

A

c =1/4

B

c=1/2

C

c > ½

D

c<1/2

Answer

c > ½

Explanation

Solution

We know that from (c, 0) three distinct normals can be drawn to a parabola if c>2a

ie., c > 2.14\frac{1}{4}

ie., c > 12\frac{1}{2}