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`24/piint_0^sqrt2 (2-x^2)/((2+x^2)(sqrt(4+x^4)))dx`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Evaluvate 16 sin20^@ sin40^@ sin80^@

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  2. If x dy/dx+2y=xe^x where y(1)=0 then value of local maxima of z(x)=x^2...

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  3. 24/piint0^sqrt2 (2-x^2)/((2+x^2)(sqrt(4+x^4)))dx

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  4. r is an element of (p,q,~p,~q) p vv r to (p wedge q) vv r is a tautol...

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  5. int 1/x sqrt((1-x)/(1+x))dx=g(x)+c then find the value of g(1/2)

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  6. If A=sum(n=1)^oo 1/(3+(-1)^n)^n and B=sum(n=1)^oo (-1)^n/(3+(-1)^n)^n ...

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  7. The sides of a cuboid are 2x,4x , 5x. There is a closed hemisphere of ...

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  8. If the given system alphax+y+z=5 , x+2y+4z=4 and x+3y+5z=beta has infi...

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  9. Consider the function f(x)=min{1,1+x sinx} x in [o,pi]

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  10. The mean of 50 observation is 15 and the standard deviation is 2.Howev...

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  11. A digit number is randomly formed, find the probability that its commo...

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  12. Find the eccentricity of locus of midpoint of line segments joining (4...

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  13. Let a1 , a2, a3 . . . are in GP such that a2+a4=2a3+1 , a2+a3=2a4 then...

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  14. If slope of common tangent of circle x^2+y^2=12 and ellipse x^2/9+y^2/...

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  15. The number of three-digit number n such that greatest common divisor (...

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  16. If the probability that 6 digit number formed using 8 and 1 which is d...

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  17. int-2^2 abs(x^3+x)/(1+e^(xabsx))dx

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  18. The value of cos ((2pi)/7)cos ((4pi)/7)cos ((6pi)/7)

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  19. Find the number of real roots of the equation x^4-4x+1=0

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  20. In a binomial distribution , n=7 and P(X=3)=5P(X=4) then find the sum ...

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