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The constant c of rolle's theorem for th...

The constant c of rolle's theorem for the function `f(x)="log" (x^2+ab)/((a+b)x)` in [a,b] where `0 notin[a,b]` is

A

`sqrt(ab)`

B

`(a+b)/2`

C

`(a-b)/2`

D

`(b-a)/2`

Text Solution

Verified by Experts

The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1D (MEAN VALUE THEOREMS)
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  2. The constant c of Rolle's theorem for the function f(x)=(x-a)(x-b) in ...

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  3. The constant c of rolle's theorem for the function f(x)="log" (x^2+ab)...

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  4. The constant c of Rolle's theorem for the function f(x)=(x-a)^m(x-b)^...

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  5. The constant 'c' of Rolle's theorem for the function f(x) =sin x in [0...

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  6. If a+b+c=0 then the quadratic equation 3ax^2+2bx+c=0 has at least one ...

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  7. If 2a+3b+6c=0 , then at least one root of the eqution ax^2+bx+c=0 lies...

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  8. Rolle's theorem can not applicable for

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  9. Rolle's theorem can not applicable for

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  10. The constant c of the Lagrange's mean value theorem for the function f...

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  11. The constant c of Lagrange's theorem for f(x)=x^3-4x^2+4x "in" [0,2] i...

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  12. The constant c of Lagrange's theorem for f(x)=x(x-1)(x-2) "in" [0,1//2...

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  13. The constant c of Lagrange's theorem for f(x)=(x-1)(x-2)(x-3) "in" [0...

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  14. The constant c of Lagrange's theorem for f(x) =x/(x-1) "in" [2,4] is

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  15. The constant c of Lagrange's mean value theorem for f(x) =2 sin x+ sin...

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  16. A value of c for which the conclusion of Mean value Theorem holds for ...

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  17. The value of c in the Lagrange's mean - value theorem for f(x)=sqrt(x-...

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  18. The constant c of Lagrange's theorem for f(x)=lx^2+mx+n(lne0) in [a,b]...

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  19. The constant c of Lagrange's theorem for f(x)=lx^2+mx+n(lne0) in [a,b]...

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  20. The constant theta of Lagrange's theorem for f(x) =x^2-2x+3 in [1,3/2]...

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