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If the tangent to the curve 2y^(3)=ax^(2...

If the tangent to the curve `2y^(3)=ax^(2)+x^(3)` at the point (a,a) cuts off intercept ` alpha and beta ` on the co-ordinate axes , (where ` alpha^(2)+beta^(2)=61`) then ` a^(2)` equals ______

A

16

B

28

C

30

D

31

Text Solution

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The correct Answer is:
C
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