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suppose x1, and x2 are the point of maxi...

suppose `x_1,` and `x_2` are the point of maximum and the point of minimum respectively of the function `f(x)=2x^3-9ax^2 + 12a^2x + 1` respectively, `(a> o)` then for the equality `x_1^2 = x_2` to be true the value of `'a'` must be

A

0

B

2

C

1

D

`(1)/(4)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The maximum value of the function f(x) = (1)/( 4x^(2) + 2 x + 1) is

    A
    `(3)/(4)`
    B
    `-(3)/(4)`
    C
    `(4)/(3)`
    D
    `-(4)/(3)`

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