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If int(0)^(1) 1/((5+2x-2x^2)(1+e^(2-4x))...

If `int_(0)^(1) 1/((5+2x-2x^2)(1+e^(2-4x)))dx=1/alpha .log_e((alpha+1)/beta), alpha,beta gt 0,`, then `alpha^4-beta^4` is equal to

A

21

B

19

C

-21

D

0

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. If the set {Re((z-barz+z barz)/(2-3z+5barz)):z in CC ,Re(z)=3} is equa...

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  2. Let S be the set of all (lamda, mu) for which the vectors lamda hati-h...

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  3. If int(0)^(1) 1/((5+2x-2x^2)(1+e^(2-4x)))dx=1/alpha .loge((alpha+1)/be...

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  4. A bag contains 6 white and 4 black balls. A die is rolled once and the...

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  5. Let S be the set of all values of lamda, for which the shortest distan...

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  6. Let the system of linear equations -x+2y-9z=7 -x+3y+7z=9 -2x+y+5z=8 -3...

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  7. Let [x] denote the greatest integer function and f(x) =max {1+x+[x], 2...

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  8. The number of real roots of the equation xabs(x) - 5abs(x + 2) +6=0,is

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  9. Let the determinant of a square matrix A of order m be m-n, where m an...

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  10. Negation of p wedge (q wedge ~(p wedge q))

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  11. If (alpha, beta) is the orthocenter of the triangle ABC with vertices ...

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  12. Let A2 and A2 be two arithmetic means and G1, G2, G3 be three geometri...

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  13. Consider the triangles with vertices A(2,1), B(0, 0) and C(t, 4), t in...

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  14. If the line x = y =z intersects the line xsinA+ysinB+zsinC-18=0=xsin2A...

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  15. A person forgets his 4-digit ATM pin code. But he remembers that in th...

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  16. Let f(x)=int (dx)/((3+4x^2)sqrt(4-3x^2)), abs(x) lt 2/sqrt3. If f(0)=0...

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  17. If the sum of the series (1/2-1/3)+(1/2^2-1/(2.3)+1/3^2)+(1/2^3-1/(2^2...

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  18. If the area bounded by the curve 2y^2 = 3x, lines x+y =3, y =0 and out...

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  19. Let an ellipse with centre (1, 0) and latus rectum of length 1/2 have ...

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  20. Let A= {1 2, 3,4] and R be a relation on the set A xx A defined by R= ...

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