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Question

If y2=4ax, then (1+y21)3/2y2 at x=a is

A
42a
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B
42a
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C
42a
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D
4a
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Solution

The correct option is A 42a
2yy1=4a
2(y1)2+2yy11=0
(1+y21)3/2y2=(1+(4a2y)2)3/22y122y
(y=2aatx=ay1=1atx=a)=(1+1)3/2(2a)
=42a

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