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The value of 'c' of Lagrange's mean valu...

The value of 'c' of Lagrange's mean value theorem for f(x) = `(x-a)^(m) ( x - b)^(n) ` in [a,b] is

A

`(mb+na)/( m + n ) `

B

`(ma+nb)/( m + n ) `

C

`(a+b)/( m+n)`

D

`(a+b)/( 2)`

Text Solution

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The correct Answer is:
A
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