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If [x]^2-5[x]+6=0 (where [.] denotes the...

If `[x]^2-5[x]+6=0` (where [.] denotes the greatest integer function), then x belongs to

A

[2,4)

B

[2,4)-{3}

C

{3}

D

{2}

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A
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PATHFINDER-FUNCTION-QUESTION BANK
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  2. If f : R to [-1, 1], where f(x)=sin(pi/2[x]) (where [.] denotes the gr...

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  3. If [x]^2-5[x]+6=0 (where [.] denotes the greatest integer function), t...

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  4. Let f:(-infty,1]to(-infty,1] such that f(x)=x(2-x). Then f^(-1)(x)

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  5. Let f : R to R be a function such that f(x)=x^3+x^2+3x+sinx . Then

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  6. Let f:[-pi/3,(2pi)/3]to[0,4] be a function defined as f(x)=sqrt3sinx-c...

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  7. Let f(x) = (ax+b) cos x+ (cx+ d) sin x and f' (x) = x cos x be an iden...

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  8. If f(x)=cos |x|+[|sin x/2|] (where [.] denotes the greatest integer fu...

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  9. The number of points (x, y), where the curves |y| = In|x| and (x-1)^2+...

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  10. Let f(x)=[1/2+n/100], where [.] denotes the greatest integer function,...

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  11. If y=sqrt(e^(sin^(-1)(log2x^2) , then y is real if

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  12. If [2sinx]+[cosx]=-3 then the range of the function f(x)=sinx+sqrt3cos...

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  13. If F(x+1)=(2F(x)+1)/2, n = 1,2,3…..and F(1) = 2 then F(101)

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  14. If f : R to R satisfies f(x + y)=f(x)+f(y) for all x, y in R and f(1)=...

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  15. If f(x+y,x-y)=xy then the arithmetic mean of f(y, x) & f(x,y)

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  16. f(x)=sqrt([sin2x]-[cos2x]) :[.]GIF, then range of f(x)

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  17. If f(x) = {(x^2, "for", x ge 0), (x, "for", x lt 0):} then fof(x) ...

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  18. Domain of f(x) is [-1, 2] then domain of f([x] - x^2 + 4) where [.] de...

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  19. Number of solution of the equation x^2 -2 -2[x] = 0 ([.] denotes the g...

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  20. Let Sn = underset (t = 1) overset n sum r!(n gt 6), then Sn - 7[Sn/7] ...

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