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1/(3^2 -1)+1/(5^2 -1)+1/(7^2 -1)+……+1/((...

`1/(3^2 -1)+1/(5^2 -1)+1/(7^2 -1)+……+1/((201)^2 -1)` is equal to

A

`99/400`

B

`25/101`

C

`101/408`

D

`101/404`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS SECTION A
  1. 1/(3^2 -1)+1/(5^2 -1)+1/(7^2 -1)+……+1/((201)^2 -1) is equal to

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  2. The values of x in (0, pi) satisfying the equation. |{:(1+"sin"^(2)...

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  3. If f(x)={{:(1/absx,,absxge1),(ax^2+b, ,absxlt1):}is differentiable at ...

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  4. The integral int((2x-1)cossqrt((2x-1)^2+5))/(sqrt(4x^2-4x+6))dx is equ...

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  5. Choose the correct statement about two circles whose equations are giv...

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  6. The equation of one of the straight lines which passes through the poi...

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  7. The number of integral values of m so the abscissa of point of interse...

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  8. Let alpha,beta,gamma are the real roots of the equation x^3+a x^2+b x+...

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  9. The real valued function f(x)=(cosec^(-1)x)/(sqrt(x-[x])), where [x] d...

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  10. The value of is equal to

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  11. Let A+2B=[(1,2,0),(6,-1,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,...

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  12. If lim(xto0)(sin^(-1)x-tan^(-1)x)/(3x^3) is equal to L, then the value...

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  13. A vector veca has components 3p and 1 with rrespect to a rectangular c...

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  14. If alpha,beta are natural numbers such that 100^(alpha)-199beta=(100)(...

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  15. If the equation aabsz^2+bar(baralphaz+alphabarz)+d=0 represents a ci...

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  16. The differential equation satisfied by the system of parabolas y^2=4a(...

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  17. Let (1+x+2x^2)^20=a0+a1x+a2x^2+....+a40x^40. " Then, "a1+a3+a5.....+a3...

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  18. The sum of all the 4-digit distinct numbers that can be formed with th...

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  19. If the functions are defined as f(x)=sqrtx and g(x) = sqrt(1-x), then ...

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  20. For the four circles M, N, O and P, following four equations are given...

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