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In the expansion of (1-x^2)(1+x)(1+3/x+3...

In the expansion of `(1-x^2)(1+x)(1+3/x+3/x^2+1/x^3)^5` the sum of the coefficient of `x^3` and `x^(-13)` is

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. Let alpha,beta,gamma,delta in Z and let A(alpha,beta),B(1,0),C(gamma,d...

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  2. A={1,2,3,4} and R={(1,2),(2,3),(1,4)} be a relation on A .Let S be the...

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  3. In the expansion of (1-x^2)(1+x)(1+3/x+3/x^2+1/x^3)^5 the sum of the c...

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  4. If alpha denotes the number of solutions of |1-i|^(x)=2^(x) and beta=(...

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  5. Let vec a and vec b be two vectors such that |vec a|=1,|vec b|=4 ,and ...

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  6. The total number of words (with or without meaning) that can be formed...

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  7. Let S=(-1,oo) and f:S rarr R be defined as f(x)=int(-1)^(x)(e^(t)-1)^(...

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  8. If the integral 525int(0)^((pi)/(2))sin2x cos^((11)/(2))x(1+Cos^((5)/(...

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  9. Let the foci and length of the latus rectum of an ellipse (x^(2))/(a^(...

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  11. Let Q and R be the feet of perpendiculars from the point P(a,a,a) on t...

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  12. If F :(- oo, -1] rightarrow (a, b] is defined as f(x) = e^(x^3-3x+1) s...

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  13. The area of the region enclosed by the parabolas y=4x-x^(2) and 3y=(x-...

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  15. Consider the function f:(0,oo)rarr R defined by f(x)=e^(-|log(e)x|) .I...

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  16. Let z(1) and z(2) be two complex numbers such that z(1)+z(2)=5 and z(1...

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  18. If a = sin^(-1) (sin 5) and b = cos^(-1) (cos 5) then value of a^2 + b...

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  19. If the mean and variance of 6 observations a, b, 68, 44, 48, 60 are 55...

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  20. Let a variable line passing through the centre of the circle x^(2)+y^(...

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