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Which of the following defines as one - ...

Which of the following defines as one - one function ?

A

`f(x)=e^(x)(-oo lt x lt oo)`

B

`f(x)=e^(x^(2))(-oo, lt xlt oo)`

C

`f(x)=cosx(0le x le pi)`

D

`f(x)=ax+b (-oo, lt x lt oo)(a ne 0)`

Text Solution

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The correct Answer is:
A,B,D
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FIITJEE-TIPS-MCQ (MULTIPLE CORRECT)
  1. Which of the following defines as one - one function ?

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  2. Which of the following function(s) from f: A -> A are not invertible, ...

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  3. Which of the following function f:R rarr R are bijective

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  4. The inequality x^(2)-3x gt tan^(-1) x is ture in

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  5. If f(x)=[x sinpix],(where [.] denotes the greatest integer function) ...

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  6. If f(x)=x^(4)(1-x^(2)), x in [0, 1], then which of the following is tr...

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  7. The function f(x)={{:(|x-3|",", x ge1),(((x^(2))/(4))-((3x)/(2))+(13)/...

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  8. Let L = lim(x rarr 0) ( a - sqrt( a^2 - x^2) - x^2/4)/x^4, a>0.If L is...

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  9. Let f(x)=(x-1)/(x^(2)) then which of the following is correct?

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  10. Let f(x) be a twice differentiable function in (-oo, oo) such that f''...

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  11. If int(dx)/(cos^(3)x-sin^(3)x)=Atan^(-1)(sinx+cosx)+Bln(f(x))+C, then ...

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  12. If int (3x+4)/(x^3-2x-4) \ dx = log|x-2| + k logf(x) + c, then (i) f...

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  13. If I=int(5x^(8)+7x^(6))/((x^(2)+1+2x^(7))^(2))dx then l is equal to

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  14. The solution of (dy)/(dx)=(x^2+y^2+1)/(2x y) satisfying y(1)=1 is give...

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  15. The solution of (x d d+y dy)/(x dy-y dx)=sqrt((1-x^2-y^2)/(x^2+y^2)) i...

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  16. Let l=int(0)^(1)(dx)/(1+x^(e )). Then

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  17. If l=int(0)^(1//2)(dx)/(sqrt(1-x^(2n))), n in N then (Where, [.] den...

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  18. Which of the following is/are a contradiction ?

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  19. The curve u=a sqrtx+bx passes through the point (1, 2) and the area en...

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  20. The area bounded by the curve y=x^(4)-2x^(3)+x^(2)+3 with x-axis and o...

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