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TIFR-2011-Maths-A-5

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dy/dx = y1/3

or,∫dy/(y1/3) =∫dx + c

or, y2/3 /(2/3) = x + c

or,3/2 . y2/3 = x + c

or,3/2 . 0 = 0 + c

or, c=0

or, 3/2 . y2/3 = x 

Now say y=8, x=3/2 . 4 =6

Ans will be (D)

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