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In the mean value theorem `f(b)-f(a)=(b-a)f'(c )(a lt c lt b)`, if `a=4, b=9` and `f(x)=sqrt(x)`, then the value of c is -

A

8

B

5.25

C

4

D

6.25

Text Solution

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
  1. The value of (d)/(dx) [ tan^(-1){(sqrt(x) (3-x))/(1-3x)}] is -

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  2. If x=sin t and y=cos p t, then which of the following is true ?

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  3. In the mean value theorem f(b)-f(a)=(b-a)f'(c )(a lt c lt b), if a=4,...

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  4. If the function f(x)=4x^(3)+ax^(2)+bx-1 satisfies all the conditions ...

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  5. The value of lim(x to 0)(e^(x)-log(e+ex))/(x) is -

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  6. Let f(x) ={{:((1-sin x)/(pi-2x)",","when" x ne (pi)/(2)),(lamda ",","w...

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  7. If (sqrt(x))^((sqrt(x))^((sqrt(x))^(...oo))) and x(dy)/(dx) =(f(y))/...

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  8. If x=e^(t)sint and y=e^(t)cost, then the value of (x+y)^(2)(d^(2)y)...

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  9. If y=f(x^(2)) and f'(x)=sqrt(3x^(2)+1) then the value of (dy)/(dx) a...

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  10. If x=sec theta-cos theta, y =sec^(n)theta-cos^(n) theta and (x^(2)+4...

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  11. If f(x) is a differentiable function for all x gt 0 and lim(y to x)(y...

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  12. If y^(2)=4ax, then the value of (d^(2)y)/(dx^(2))*(d^(2)x)/(dy^(2)) i...

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  13. The value of lim(n to oo) (1^(p)+2^(p)+3^(p)+…+n^(p))/(n^(p+1)) is -

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  14. The value of int(0)^(1.5)[x^(2)]dx is -

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  15. If I(n)=int(0)^((pi)/(4)) tan^(n)x dx, then the value of lim(n to oo...

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  16. The value of int(0)^((pi)/(2)) (sinx dx)/(sin x+cos x) is equal to -

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  17. The value of the integral int(-(pi)/(7))^((pi)/(7))x^(3)sin^(2)x dx is...

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  18. int"cosec"^(4)x dx is equal to -

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  19. The value of int(dx)/(2sqrt(x)(x+1)) is -

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  20. The value of the integral int(0)^(1) (dx)/( x^(2)+2x cos alpha +1) is...

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