JEE Main 2003Annual, Paper 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002If the function f(x)=2x3−9ax2+12a2x+1,f\left( x \right) = 2{x^3} - 9a{x^2} + 12{a^2}x + 1,f(x)=2x3−9ax2+12a2x+1, where a>0,a>0,a>0, attains its maximum and minimum at ppp and qqq respectively such that p2=q{p^2} = qp2=q , then aaa equalsAOption A. 12{1 \over 2}21BOption B. 333COption C. 111DOption D. 222CheckSkip · show solution
