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If f(x) = 1/ sqrt([cosx]-[sin x])((x) de...

If `f(x) = 1/ sqrt([cosx]-[sin x])`((x) denotes greatest integer `le` x)) then

A

Domain of f = R

B

Range of f = {1}

C

Domain of f = `[2npi, (2n + 1)pi]`

D

Domain of `f = [2npi= pi/2, 2npi]`

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The correct Answer is:
B, D
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PATHFINDER-FUNCTION-QUESTION BANK
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  2. Let f : R rarr R be defined by f(x) = [x] and g(x) = (3- 2x)/4 then

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  3. If f(x) = 1/ sqrt([cosx]-[sin x])((x) denotes greatest integer le x)) ...

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  5. If f : R rarr R, defined as f(x) = sin([x]pi)/(x^2 + xz + 1), where [x...

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  6. Let g(x) be a function defined on [-1, 1] so that the area of the equi...

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  7. Let f(x) = x/(1 + x^2) and g(x) = e^(-x)/(1+[x]), where [x] is the gre...

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  8. Let f(x) = log(100X)(2log10X + 2)/(-X) and g(X) = {X}, where {x} denot...

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  9. If y = f(x) = (x+2)/(x-1) then

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  10. Let f(x) be a real valued function satisfying the functional equation ...

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  11. Let f(x) be a real valued function satisfying the functional equation ...

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  12. Let f(x) be a real valued function satisfying the functional equation ...

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  13. Let (x) f1(x)-2f2(x) where f1(x) = "min"{x^2, |x|} "for"-1 le x le...

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  14. Let (x) f1(x)-2f2(x) where f1(x) = "min"{x^2, |x|} "for"-1 le x le...

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  15. Let (x) f1(x)-2f2(x) where f1(x) = "min"{x^2, |x|} "for"-1 le x le...

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  16. Let f(x) = 1/2[f(xy) + f(x/y)] for x,y in R^+ such that f(1) = 0 f'(...

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  17. Let f(x) = 1/2[f(xy) + f(x/y)] for x,y in R^+ such that f(1) = 0 f'(...

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  18. Let f(x) = 1/2[f(xy) + f(x/y)] for x,y in R^+ such that f(1) = 0 f'(...

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  19. For all real values of x and y, 2f(x) cosy = f(x + y) + f(x - y) and b...

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  20. For all real values of x and y, 2f(x) cosy = f(x + y) + f(x - y) and b...

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