Home
Class 12
MATHS
If the function f(x)= 2x^(3)-9ax^(2) +12...

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-

A

`1//2`

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise PROBLEM SET (1) (TRUE AND FALSE )|3 Videos

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise PROBLEM SET (2) (MULTIPLE CHOICE QUESTIONS)|17 Videos

  • MATRICES

    ML KHANNA|Exercise COMPREHENSION|3 Videos

  • MEASURES OF CENTRAL TENDENCY

    ML KHANNA|Exercise ASSERTION / REASON|1 Videos

Similar Questions

Explore conceptually related problems

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)=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

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

" If "f(x)=2x^(3)-9ax^(2)+12a^(2)x+1" has a local maximum at "x=x_(1)" and "a" local minimum at "x=x_(2)," such that "x_(2)=x_(1)^(2)," then a is equal "

The polynomial p(x)=ax^(3)-3x^(2)+4 and g(x)=2x^(3)-5x+a when divided by (x-2) and (x-3) leaves the remainder p and q respectively.If p-2q=4 then value of a.