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Question

Which of the following lines, is a normal to the parabola y2=16x?

A
y=x11cosθ3cos3θ
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B
y=x11cosθcos3θ
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C
y=(x11)cosθ+cos3θ
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D
y=(x11)cosθcos3θ
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Solution

The correct option is B y=(x11)cosθcos3θ
Accodingtothequestion,Equofparabolais........y=mxam32am(wherem=slope,conditionofnormalis,c=2amam3)given,y=(x11)cosθcos3θ=xcosθ11cosθcos3θ(wherem=cosθ)c=11cosθcos3θ=11cosθ(4cos3θ3cosθ)=8cosθ4cos3θistherequiredoptionSo,thecorrectoptionisD.

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