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If f(x)={{:(xsin((1)/(x))", if "xne0),(0...

If `f(x)={{:(xsin((1)/(x))", if "xne0),(0" , if "x=0):}` then at x=0 the function f is

A

continuous but not differentiable

B

differentiable but not continuous

C

continuous and differentiable

D

not continuous

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KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2002-MATHEMATICS (MCQ.s)
  1. The general solution of the equation sintheta+costheta=1 is

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  2. The value of sum(k=1)^(6)("sin"(2pik)/(7)-I"cos"(2pik)/(7)) is

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  3. If f(x)={{:(xsin((1)/(x))", if "xne0),(0" , if "x=0):} then at x=0 th...

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  4. If y="tan"^(-1)((cosx-sinx)/(cosx+sinx)), then (dy)/(dx)=

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  5. The differential of e^(x^(3)) with respect to log x is

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  6. If p to(qvvr) is false, then the truth values of p,q,r are respectivel...

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  7. If 5 is one root of the equation |(x,3,7),(2,x,-2),(7,8,x)|=0 then the...

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  8. If veca,vecb,vecc are mutually perpendicular unit vectors then |veca+v...

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  9. If x=2cost+cos2t,y=2 sint-sin2t, then (dy)/(dx) at t=(pi)/(4) is

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  10. The value of int(dx)/(sqrt(2x-x^(2))) is:

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  11. Which of the following functions is a solution of the differential equ...

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  12. y=ae^(mx)+be^(-mx) satisfies which of the following differential equat...

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  13. Solution of the differential equation (dx)/(x)+(dy)/(y)=0 is

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  14. Let the function f:RtoR be defined by f(x)=2x+cosx. Then f

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  15. The perimeter of a sector is p. the area of the sector is maximum when...

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  16. The equation to the tangent to the curve y=be^(x//a) at the point wher...

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  17. The value of intx^(3)logxdx is:

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  18. The value of int(0)^(pi)(dx)/(5+3cosx) is

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  19. The false statement in the following is

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  20. If the vectors 3hati+hatj-2hatk,hati+2hatj-3hatk,3hati+lamdahatj+5hatk...

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