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Question

Number of real normals to the parabola y2=16x, passing through (4,0) is

A
1
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B
2
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C
3
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D
0
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Solution

The correct option is A 1
Eqaution of the normal to the parabola y2=16x will be
y+xt=8t+4t3
it passes through (4,0)
4t=8t+4t34t3+4t=0t(t2+1)=0
only one value of t(=0) is possible.
Hence one normal can be drawn.

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