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The function f(x) = [x] cos((2x-1)/2) p...

The function `f(x) = [x] cos((2x-1)/2) pi` where [ ] denotes the greatest integer function, is discontinuous

A

all x

B

no x

C

all integer points

D

x which is not an integer

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The correct Answer is:
C
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 20-PAPER 2 (Mathematics)
  1. If I(1)=int(0)^(pi//2) x sin x dx and I(2) = int(0)^(pi//2) x cos x d...

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  2. lim(x to 1 ) (log ex)^(1//logx) is equal to

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  3. The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greate...

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  4. The derivative of cos^(3)x w.r.t. sin^(3)x is

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  5. The equation of the tangent to the curve x=2cos^(3) theta and y=3sin^(...

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  6. The maximum value of Z = 4x + 2y subject to the constraints 2x+3y le ...

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  7. If f(x)=sin xl e^(x) in [0,pi] then f(x)

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  8. Force of magnitudes 3 and 4 units acting along 6 hati + 2hat j + 3hatk...

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  9. The point of intersaction of the line (x-1)/(2)=(y-2)/(-3)=(z+3)/(4) a...

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  10. The equation of curve whose tangent at any point on it different form ...

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  11. If the plane 3x-2y-z-18=0 meets the coordinate axes in A,B,C then, the...

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  12. The locus of the point P(x,y) satisfying the relation sqrt((x-3)^2+(y-...

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  13. The contrapositive of p implies ~q is

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  14. The point at which the tangent to the curve y=2x^(2)-x+1 is parallel t...

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  15. Solution of the differential equation (dy)/(dx)tany=sin(x+y)+sin(x-y) ...

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  16. lim(x to oo) ((x+a)/(x+b))^(x+b) is equal to

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  17. If the distance of the point (1,1,1) from the origin is half its dista...

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  18. Forces acting on a particle have magnitude 5,3 and 1 unit and act in t...

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  19. If a^(2)x^(4) + b^(2)y^(4)=c^(6), then maximum value of xy is

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  20. If 4x^(2)+ py^(2) =45 and x^(2)-4y^(2) =5 cut orthogonally, then the v...

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