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  • The number of normals drawn from a point to the parabola <img alt="\mathrm{y^{2}=4 x}" src="https://entrancecor

The number of normals drawn from a point (3,0) to the parabola \mathrm{y^{2}=4 x} is / are

Option: 1

1


Option: 2

2


Option: 3

3


Option: 4

none of these


Answers (1)

best_answer

\mathrm{\quad y=m x-2 m-m^{3}}, this passes through \mathrm{(3,0)} hence

\mathrm{0=3 m-2 m-m^{3} \Rightarrow m^{3}-m=0 \Rightarrow m=0, m= \pm 1}

Hence three normals can be drawn.

Hence (C) is the correct answer.

 

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