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If the function f(x)=(2-sqrt(x+4))/(sin2...

If the function `f(x)=(2-sqrt(x+4))/(sin2x)(x ne 0)` is continuous at x = 0, then f(0) is equal to -

A

` (1)/(8)`

B

`-(1)/(8)`

C

`(1)/(4)`

D

`-(1)/(4)`

Text Solution

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 2
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  2. The value of int(1)^(2)[x^(2)]dx is -

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  3. The value of int(-pi)^(pi) (2x(1+sinx))/(1+cos^(2)x)dx is equal to -

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  4. The value of int(dx)/(sinx-cosx+sqrt(2)) is -

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  5. The value of int(0)^(pi) e^(sin^(2)x) cos^(3)x dx is equal to -

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  6. Let I=int(-2)^(2)(x-[x])dx where [x] represents the greatest integer i...

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  7. The value of int(0)^(pi) (dx)/(5+3 cosx) is -

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  8. The value of int e^(x)[f(x)+f'(x)]dx is equal to -

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  9. The value of int e^(log(tan x))dx is equal to -

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  10. The integral int(1+x-1/x)e^(x+1/x)dx is equal to

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  13. If the function f(x)=(2-sqrt(x+4))/(sin2x)(x ne 0) is continuous at x ...

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  14. The integrating factor of the differential equation (x+1)(dy)/(dx)-ny=...

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  15. The solution of the differential equation (dy)/(dx)-y tan x=-2 sinx is...

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  16. The differential equation of the family of lines passing through the o...

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  17. Which of the following statements is not true ?

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  18. If f(x)={(x"sin"(1)/(x),"when "x ne 0),(0,"when "x =0):} then at x ...

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  19. The differentiable equation of the family of curves y=A(x+B)^(2) after...

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  20. The solution of the differential equation log((dy)/(dx))=ax+by is -

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