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If the function f(x) = x^(3) – 6ax^(2) +...

If the function `f(x) = x^(3) – 6ax^(2) + 5x` satisfies the conditions of Lagrange’s mean theorem for the interval [1, 2] and the tangent to the curve `y = f(x)` at `x = 7//4` is parallel to the chord joining the points of intersection of the curve with the ordinates `x = 1` and `x = 2`. Then the value of a is

A

`35//16`

B

`35//48`

C

`7//16`

D

`5//16`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Using Lagranges mean value theorem,find a point on the curve y=sqrt(x-2) defined on the interval [2,3] where the tangent is parallel to the chord joining the end points of the curve.

    A
    x= `9/2`
    B
    x= `9/4`
    C
    x= `3/2`
    D
    None of these

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