If the function `f(x)= 2x^(3)-9ax^(2) +12a^(2)x +1`, where `a gt 0` attains its maximum and minimum at `x=p` and `x=q` respectively, such that `p^(2)=q`, then the value of a is-

If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1 , where a gt 0 , attains its maximum and minimum at p and q respectivelt such that p^(2)=q then a is ………..

If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1 , where a gt0 attains its maximum and minimum at p and q respectively such their p^(2)=q , then a equals :

If the function f(x)=2x^3-9ax^2+12a^2x+1, where a gt 0, attains its maximum and minimum at p and q, respectively, such that p^2=q, then a equal to (a) 1 (b) 2 (c) 1/2 (d) 3

If the function f(x)=2x^3-9ax^2+12a^2x+1, where a gt 0, attains its maximum and minimum at p and q, respectively, such that p^2=q, then a equal to (a) 1 (b) 2 (c) 1/2 (d) 3

If the function f(x)=2x^(3)-9ax^(2)+12x^(2)x+1, where a>0, attains its maximum and minimum at p and q, respectively,such that p^(2)=q, then a equal to (a) 1 (b) 2 (c) (1)/(2) (d) 3

If the function f(x)=2x^3-9ax^2+12x^2x+1, where a gt 0, attains its maximum and minimum at p and q, respectively, such that p^2=q, then a equal to (a) 1 (b) 2 (c) 1/2 (d) 3

If the function f(x)=2x^3-9a x^2+12 x^2x+1,w h e r ea >0, attains its maximum and minimum at pa n dq , respectively, such that p^2=q , then a equal to 1 (b) 2 (c) 1/2 (d) 3

If the function f(x)=x^3-12ax^2+36a^2x-4(agt0) attains its maximum and minimum at x=p and x=q respectively, and if 3p=q^2 , then a is equal to