Find the positive value of ' a ' for which the equality 2 \\alpha+\\beta=8 holds, where ' \alpha ' and ' \\beta 'are the points of maximum and minimum, respectively, of the function f(x)=2 x^{3}-9 a x^{2}+ 12 a^{2} x+1

AP EAPCET 20-Aug-2021 Shift 1 Paper

Section: Mathematics

Question : 71 of 160

Marks: +1, -0

Find the positive value of ' a ' for which the equality 2α+β=8 holds, where ' α ' and ' β 'are the points of maximum and minimum, respectively, of the function f(x)=2x3−9ax2+ 12a2x+1

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