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The number of elements in the set `{n in Z:abs(n^2-10n+19) lt 6)}` is ______

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. For the system of linear equations 2x -y+3z=5 3x+2y-z=7 4x +5y+alphaz=...

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  2. The number of permutations, of the digits 1, 2, 3, ..., 7 without repe...

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  3. The number of elements in the set {n in Z:abs(n^2-10n+19) lt 6)} is

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  4. Let y= p(x) be the parabola passing through the points (-1, 0), (0, 1)...

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  5. Some couples participated in a mixed doubles badminton tournament. If ...

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  6. Let f : (-2,2) to RR be defined by f(x)={(x[x],"", -2ltxlt0),((x-1)[x]...

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  7. The sum of all these terms, of the arithmetic progression 3, 8, 13, . ...

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  8. Let a, b, c be three distinct positive real numbers such that (2a)^(lo...

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  9. Let a common tangent to the curves y^2=4x and (x-4)^2 +y^2 =16 touch t...

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  10. If the mean of the frequency distribution is 28, then its varianc...

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  11. The coefficient of x^7 in (1-x+2x^3)^10 is

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  12. The distance of the point (-1,2,3) from the plane vecr*(hati-2hatj+hat...

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  13. max(0lexlepi){x-2sinxcosx+1/3sin3x} =

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  14. Among (S1) : lim(n to oo)1/(n^2)(2+4+6+.......+2n)=1 (S2) : lim (n...

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  15. Let B=[[1,3,a],[1,2,3],[a,a,4]] , a gt 2 be the adjoint of a matrix A ...

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  16. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc =2hati-hatj+...

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  17. The set of all a in RR for which the equation x|x-1|+|x+2|+a=0 has exa...

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  18. A coin is biased so that head is 3 times as likely to occur as tail. t...

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  19. Let PQ be a focal chord of the parabola y^2=36x of lenght 100, making ...

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  20. The area of the region enclosed by the curve f(x)=max{sinx,cosx},-pile...

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