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Question

If x=2at2,y=at4 then d2ydx2 at t=2 is

A
4
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B
2a
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C
12a
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D
12a
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Solution

The correct option is C 12a
Since x=2at2 and y=at4,
we have ya=(x2a)2
Or,
y=x24a

dydx=2x4a

d2ydx2=12a

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