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sum(n=1)^21 3/((4n-1)(4n+3)) = ?...

`sum_(n=1)^21 3/((4n-1)(4n+3)) = ?`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Focus of ellipse x^2/9+y^2/7=1 and hyperbola x^2/(1/4)-y^2/a^2=1 coinc...

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  2. Eight number 3,5,7,2k,12,15,21,27 are in increasing order and if mean ...

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  3. sum(n=1)^21 3/((4n-1)(4n+3)) = ?

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  4. A(-1,1) and B(1,-1) are two points on the curve y^2=2x+2y+1. Tangents ...

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  5. int-3^101 ([sin pi x]+e^[[cos 2pi x]])dx is equal to ? ( where [x] den...

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  6. lim(n to oo) 1/2^n(1/(sqrt(1-1/2^n))+1/(sqrt(1-3/2^n))+1/(sqrt(1-7/2^n...

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  7. Consider the curve y=f(x) passing through the point (1,2) and (8,1) If...

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  8. Let f(x) be a monic quadratic polynomial such that f(1)=1/3 , f(0) =p ...

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  9. Find the shortest distance between the lines (x+1)/7=(y+1)/(-6)=(z+1)/...

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  10. From a group of 10 boys B1 , B2 . . . B10 and G1 , G2,. . . ,G5 the nu...

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  11. tan(2tan^-1(1/8)+sec^-1(sqrt5/2)+2 tan^-1(1/5)) is equal to

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  12. Let {3},{6,9,12},{15,18,21,24,27} ,. . . be any sequence, then the sum...

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  13. dy/dx+2ytanx = Sinx , y(pi/3)=0 , maximum value of y(x) is

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  14. Area bounded by the curves y=1 , y=3, y^a=x , (x gt 0) and x=0 is 364/...

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  15. If the line (x+1)/4=(y-2)/3=(z-1)/4 intersects the plane x+y-z=0 at a ...

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  16. The number of 5 digit number's whose product of the digit is 36 is

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  17. If [A](2xx2) and absA=-1 and abs((A+I)(adj A+I))=4 , then abs(Trace (A...

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  18. Let f be a continuous function such that f(3x)-f(x)=x and f(8)=7, then...

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  19. If lim(x to oo) sum(k=1)^n (2n)/(n^2+k^2)=a and f(x)=sqrt((1-cos x)/(1...

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  20. A tangent is drawn to y^2=24x at (alpha,beta) which is perpendicular t...

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