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Question

Find the equation at normal to the parabola at point P(at2,2at) at y2=4ax.

A
y+tx=at2=2at3
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B
y+atx=at2+2at3
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C
y+tx=at3+2at
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D
None of these
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Solution

The correct option is C y+tx=at3+2at
y2=4ax2ydydx=4adydx=2ayatp(at2,2at)dydx=2a2atSlopeatnormal=tSo,equationofnormal is (y2at)=t(xat2)y+tx=at3+2at.

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