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Let f:RtoR be defined as f(x)={{:(0",","...

Let `f:RtoR` be defined as `f(x)={{:(0","," is irrational"),(sin|x|","," x is rational"):}` Then which of the following is true?

A

f is discontinuous for all x

B

f is continuous for all x

C

f is discontinuous at `x=kpi`, where k is an integer,

D

f is continuous at `x=kpi`, where k is an integer,

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2015-MULTIPLE CHOICE QUESTIONS
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  2. For all real values of a(0),a(1),a(2),a(3) satisfying a(0)+(a(1))/(2)+...

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  3. Let f:RtoR be defined as f(x)={{:(0","," is irrational"),(sin|x|","," ...

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  4. If the vertex of the conic y^(2)-4y=4x-4a always lies between the stra...

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  5. Number of intersecting points of the conic 4x^(2)+9y^(2)=1 and 4x^(2)+...

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  6. The value of lamda for which the straight line (x-lamda)/(3)=(y-1)/(2+...

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  7. if f:[0,pi//)toR is defined as f(theta)=|(theta,tantheta,1),(-tantheta...

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  8. If A and B are two matrices such that AB=B and BA=A then A^(2)+B^(2) e...

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  9. If omega is an imaginary cube root of unity, then the value of the det...

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  10. The value of 2cot^(-1)""(1)/(2)-cot^(-1)""(4)/(3) is

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  11. If the point (2costheta,2sintheta), for thetain(0,2pi) lies in the reg...

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  12. Number of points having distance sqrt5 from the straight line x-2y+1=0...

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  13. Let a,b, c, d be any four real number. Then a^(n)+b^(n)=c^(n)+d^(n) ho...

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  14. If alpha,beta are the roots of x^(2)-px+1=0 and gamma is a root of x^...

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  15. Number of irrational terms in the binomial expansion of (3^(1//5)+7^(1...

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  16. The quadratic expression (2x+1)^(2)-px+qne0 for any real x is

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  17. Let f:RtoR be defined as f(x)=(x^(2)-x+4)/(x^(2)+x+4). Then the range ...

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  18. The least value of 2x^(2)+y^(2)+2xy+2x-3y+8 for real numbers x and y i...

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  19. Let f:[-2,2]toR be a continuous function such that f(x) assumes only i...

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  20. The minimum value of costheta+sintheta+(2)/(sin2theta) for thetain(0,p...

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