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Let f(x) be a non-constant twice differe...

Let f(x) be a non-constant twice differentiable function defined on `(oo, oo)` such that `f(x) = f(1-x)` and f"(1/4) = 0`. Then

A

2

B

3

C

4

D

5

Text Solution

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The correct Answer is:
C
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VK JAISWAL-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (COMPREHENSION TYPE PROBLEMS)
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  2. Let f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx an...

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  3. Let f(x) be a non-constant twice differentiable function defined on (o...

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  4. Let f (x) be a twice differentiable function defined on (-oo,oo) such ...

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  5. Let f(x) be a non-constant twice differentiable function defined on (-...

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  6. Consider the function f (x) and g (x), both defined from R to R f (x...

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  7. Consider the function f (x) and g (x), both defined from R to R f (x...

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  8. Consider the function f (x) and g (x), both defined from R to R f (x...

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  9. Let f (x) be function defined on [0,1] such that f (1)=0 and for any ...

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  10. Let f (x) be function defined on [0,1] such that f (1)=0 and for any ...

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  11. Let f (x) be function defined on [0,1] such that f (1)=0 and for any ...

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  12. Let f (a)(x) =In x and for n ge 0 and x gt 0 Let f (a)(x) = int (0)...

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  13. int( x^2+4)/(x^2+1)dx

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  14. Let f :R to [(3)/(4), oo) be a surjective quadratic function with line...

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  15. Let f :R to [(3)/(4), oo) be a surjective quadratic function with line...

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  16. Let g (x ) = x ^(C )e ^(Cx) and f (x) = int (0)^(x) te ^(2r) (1+3t ^(2...

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  17. Let g (x ) = x ^(C )e ^(Cx) and f (x) = int (0)^(x) te ^(2t) (1+3t ^(2...

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