If the tangent to the curve 2y3=ax2+x3 at the point (a,a) cuts off int – InterviewSolution

1.	If the tangent to the curve 2y3=ax2+x3 at the point (a,a) cuts off intercepts α and β on the co-ordinate axes, where α2+β2=61, then the possible value(s) of a is/are
Answer» If the tangent to the curve $2 y^{3} = a x^{2} + x^{3}$ at the point $(a, a)$ cuts off intercepts $α$ and $β$ on the co-ordinate axes, where $α^{2} + β^{2} = 61$ , then the possible value(s) of $a$ is/are

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