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The function sin^(-1)x + cos^(-1)x (-1 l...

The function `sin^(-1)x + cos^(-1)x (-1 le x le 1)` is:

A

a one-one function

B

a constant function

C

an identity function

D

onto function

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-FUNCTIONS -EXERCISE -II
  1. If f:[2, 3] rarr RR is defined by f(x)=x^(3)+3x-2, then the range f(x)...

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  2. The function f: C to C defined by f(x)=(ax+b)/(cx+d) for x in C where ...

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  3. The function sin^(-1)x + cos^(-1)x (-1 le x le 1) is:

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  4. What is a monotonic function?

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  5. The function f:R rarrR is defined by f(x)=3^(-x). Observe the followin...

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  6. If f: C to C where C is set of complex numbers and f(z)=|z|, then/ ...

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  7. If f: C to C such that f(z) =z-barz, AA z in C, then f is:

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  8. If RR rarrC is defined by f(x)=e^(2ix)" for x in RR then, f is (where ...

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  9. If R is the set of all real numbers and if f: R -[2] to R is defined b...

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  10. Let Q be the set of all rational number in [0, 1] and f:[0, 1]rarr[0, ...

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  11. If f: R to R is defined by f(x) = 2x+|x|, then f(3x) -f(-x)-4x=

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  12. If f(x)=(25-x^(4))^(1//4) for 0 lt x lt sqrt5 then f(f((1)/(2)))=

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  13. {x in R: x-[x] =5}=

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  14. The domain of f(x) =1/6sqrt(log(10)(5x-x^(2)) is

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  15. If f: [2,infty) to B defined by f(x) =x^(2)-4x+5 is a bijection, then ...

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  16. If f: N to W is such that f(n) = {{:(n/2, "if n is even"),(0,"if n is ...

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  17. If f:R rarr R, g:R rarr R are defined by f(x)= 5x-3,g(x)=x^(2)+3, then...

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  18. If A={x inR//(pi)/(4)lexle(pi)/(3)} and f(x)=sinx-x, then f(A) is equa...

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  19. If f(x) is a real function defined on [-1,1], then the function g(x) =...

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  20. If f:NtoR is defined by f(1) = - 1 and f(n+1) = 3f(n) + 2 for nge1, th...

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