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If sn=(1-4/1)(1-4/9)(1-4/25)......(1-4/(...

If `s_n=(1-4/1)(1-4/9)(1-4/25)......(1-4/((2n-1)^2)),` where `n in N,` then

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RESONANCE DPP-JEE MAINS-All Questions
  1. If sum(r=1)^n r(r+1)(2r+3)=a n^4+b n^3+c n^2+d n+e , then a-b=d-c ...

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  2. For a family circles passing through the points A(3,7)B(6,5) which o...

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  3. If sn=(1-4/1)(1-4/9)(1-4/25)......(1-4/((2n-1)^2)), where n in N, th...

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  4. If {.} represents fractional part function and {x}+{-x}=x^2+x-6 , then...

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  5. If there are three square matrix A, B, C of same order satisfying the...

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  6. The quadratic equation, a (x -b)(x-c) + b (x-c)(x-a) + c (x-a) (x-b)=0...

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  7. Let g(x) be the inverse of an invertible function f(x), which is dif...

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  8. The product of all values of t , for which the system of equations (a-...

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  9. The Fibonacci sequence is defined by 1=a1=a2 and an=a(n-1)+a(n-2,)n > ...

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  10. Let A and B are square matrices of same order satisfying A B=A ,a n dB...

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  11. If the graph of the function y = f(x) is as shown : The graph of ...

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  12. If p ,q ,r are in A.P. then value of determinant |a^2+2^(n+1)+2p b^2+2...

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  13. Let A=[-3-7-5 2 4 3 1 2 2]&B=[a b1] If AB is a scalar multipl...

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  14. If f(x)=x+t a n xa n df(x) is inverse of g(x), then g^(prime)(x) is eq...

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  15. If 3x+4y=12 intersect the ellipse x^2/25+y^2/16=1 at P and Q , then p...

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  16. sin^4(pi/16)+sin^4(3pi/16)+sin^4(5pi/16)+sin^4(7pi/16)=3/2

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  17. If x1,x2, x3 and y1, y 2, y3 are both in G.P. with the same common rat...

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  18. Find the sum of the series (2^2-1)(6^2-1)+(4^2-1)(8^2-1)+...+(100^2-1)...

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  19. Find the sum of infinite terms of the series : 3/(2*4)+5/(2*4*6)+7/(2*...

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  20. The solution set satisfying the inequality,sqrt(21-4a-a^2)/(a+1)<=1

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