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 cuts off intercepts `alpha and beta` on the coordinate axes, where `alpha^(2)+beta^(2)=61` then the value of `|a|` is

A

16

B

28

C

30

D

31

Verified by Experts

The correct Answer is:

C

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