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If `(a_(0))/(n+1) + ( a_(1))/( n ) + ( a_(2))/( n -1)+"......"+ (a_(n-1))/(2) + a_(n) =0` then `a_(0)x^(n) + a_(1) x^(n-1) + "..........." + a_(n-1)x + a_(n) =0` has

A

no solution in ( 0,1)

B

at least one solution in ( 0,1)

C

exactly one solution in ( 0,1)

D

at least one soluiotn in ( 2,3)

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The correct Answer is:
B
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AAKASH SERIES-MEAN VALUE THEOREMS-PRACTICE SHEET (EXERCISE-I (LEVEL-I))
  1. Value of 'c' of Rolle's theorem for f(x) = |x| in [-1,1] is

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  2. Given n is a positive integer for the function f(x) = 5x(x-2)^(n), x i...

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  3. If (a(0))/(n+1) + ( a(1))/( n ) + ( a(2))/( n -1)+"......"+ (a(n-1))/...

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  4. The value of 'c' in Rolle's theorem for f(x) = log ((x^(2) + ab)/(x(a...

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  5. Rolle's theorem holds for the function x^(3) + bx^(2) + cx, 1 le x le...

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  6. Let f(x) and g(x) be differentiable functions for 0 le x le 1 such t...

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  7. Let f(x) = sqrt(x-1) + sqrt(x+ 24-10sqrt(x-1)),1 lt x lt 26 be real va...

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  8. Rolle's theorem can not applicable for

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  9. If f be a continuous function on [0,1], differentiable in (0,1) such t...

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  10. Let f : [2,7] rarr [ 0 , oo) be a continuous and differentiable funct...

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

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  12. The value of 'c' in Lagrange's mean value theorem for f(x) = log x on...

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  13. The value of 'c' in Lagrange's mean value theorem for f(x) = x^(3)-2x^...

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  14. The value of theta of mean value theorem for the function f(x) = ax^(2...

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  15. The value of 'c' prescribed by Lagrange's mean value theorem , when f(...

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  16. The value of C in the lagrange's mean value theroem for f(x) = sqrt( x...

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  17. The value of 'theta' of the Lagrange's mean value theorem for f(x) = x...

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  18. The chord joining the points where x=p and x=q on the curve y =a x^(2)...

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  19. Value of 'c' of Lagrange's mean value theorem for f(x) = 2x - x^(2) i...

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  20. If a lt c lt b , and if 1-k(1) lt ln ((b)/(a)) lt k(2) -1 , then ( ...

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