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If a(1) lt ( 257)^(1//4) -4 lt b (1), th...

If `a_(1) lt ( 257)^(1//4) -4 lt b _(1)`, then `(a_(1) , b_(1) ) ( a_(1) , b_(1))` is

A

`((1)/( 257),(1)/(256))`

B

`((1)/( 256),(1)/(257))`

C

`(256,257)`

D

`(255,256)`

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The correct Answer is:
A
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AAKASH SERIES-MEAN VALUE THEOREMS-PRACTICE SHEET (EXERCISE-I (LEVEL-I))
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  7. If a(1) lt ( 257)^(1//4) -4 lt b (1), then (a(1) , b(1) ) ( a(1) , b(...

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

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  14. If f(x) = x^(n) for 0 lt a lt b and na^(n-1) le (b^(n) - a^(n))/( b-a...

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  15. Let f(x) and g(x) be differentiable functions in (a,b) continuous in [...

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  16. Lagrange's mean value theorem cannot be applied for

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  17. Let f(x) and g(x) be two differentiable functions in R such that f(2) ...

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  18. If the function f(x) and phi (x) are continuous in [a,b] and different...

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  20. Assertion (A) : Suppose f is differentiable on R such that 1le f'(x ) ...

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