If the tangent to the curve 2 y^{3}=a x^{2}+x^{3} at the point (a, a) cuts off intercepts \\alpha and \\beta on the co-ordinate axes, where \\alpha^{2}+\\beta^{2}=61, then the value of |a| is _____

AP EAPCET 23-Aug-2021 Shift 1 Paper

Section: Mathematics

Question : 72 of 160

Marks: +1, -0

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 value of |a| is _____

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