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If f(x)={x^2}, where {x} denotes the fra...

If `f(x)={x^2},` where `{x}` denotes the fractional part of `x ,` then (a)`f(x)` is continuous at `x=2` but not at `x=-2` (b)`f(x)` is continuous at `x=-2` but not at `x=2` (c)`f(x)` is continuous at `x=-2` and `x=2` (d)`f(x)` is discontinuous at `x=2` and `x=-2`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. about to only mathematics

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  2. Using laws of set algebra, show that If AnnB^(prime)=varphi, show that...

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  3. If f(x)={x^2}, where {x} denotes the fractional part of x , then (a)f(...

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  4. Using properties of sets, show that(i) A uu( A nnB) = A (ii) A nn(A...

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  5. The coefficient of x^(24) in (1+x^(2))^(12)(1+x^(12))(1+x^(24)) is

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  6. Which of the following when simplified reduces to unity ?

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  7. For the ellipse (x^(2))/(4) + (y^(2))/(3) = 1 , the ends of the two ...

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  8. Determine the empty sets, singleton sets and pair sets in the followin...

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  9. ABCD is a quadrilateral in which and/D A B\ =/C B A(see Fig. 7.17). P...

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  10. Find the value of |a|+|b| such that the identity |a x+b y|+|b x+a y|=|...

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  11. There are 11 teachers who teach Mathematics or Physics in a school, Of...

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  12. The variance of 20 observations is 5. If each observation is multiplie...

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  13. Find the value of C D in terms of x , in the adjoining figure, where...

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  14. If Aa n dB are two sets such that n(A)=150 ,n(B)=250 a n d n(AuuB)=300...

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  15. Let 3 non-zero distinct real numbers be in A.P. and their squares in...

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  16. In the adjoining figure find that value of a +b if angleDBE = 90^@

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  17. The number of solution of equation 2cos^(-1)x=a+a^2(cos^(-1)x)^(-1) ar...

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  18. The smallest positive value of p for which the equation cos(p sinx) =...

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  19. OABC is a rhombus whose three vertices. A, B and C lie on a circle wit...

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  20. The function f:[-1//2,\ 1//2]->[-pi//2,pi//2\ ] defined by f(x)=s in^(...

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