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 A1 Eqaution of the normal to the parabola y2=16x will be y+xt=8t+4t3 ∵ it passes through (4,0) ∴4t=8t+4t3⇒4t3+4t=0⇒t(t2+1)=0 ∴ only one value of t(=0) is possible. Hence one normal can be drawn.