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(C0+C1)(C1+C2)(C2+C3)(C3+C4)...........(...

`(C_0+C_1)(C_1+C_2)(C_2+C_3)(C_3+C_4)...........(C_(n-1)+C_n)=(C_0C_1C_2.....C_(n-1)(n+1)^n)/(n!)`

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(C_(0)+C_(1))(C_(1)+C_(2))(C_(2)+C_(3))(C_(3)+C_(4)).........(C_(n-1)+C_(n))=(C_(0)C_(1)C_(2).....C_(n-1)(n+1)^(n))/(n!)

( (C_0 +C_1)(C_1 + C_2)(C_2 +C_3).....(C_(n-1) +C_n))/(C_0C_1C_2....C_n)= (A) (n+1) ^n/n (B) (n+1)^(n-1)/n! (C) (n+1)^n/(n!)(D) (n+1)/(n!)

(C_(0)+C_(1))(C_(1)+C_(2))(C_(2)+C_(3))...(C_(n-1)+C_(n))=(C_(0).C_(1).C_(2)......C_(n-1)(n+1)^(n))/(n!) .

(C_(0))/(1)+(C_(1))/(2)+(C_(2))/(3)+.........(C_(n))/(n+1)=

(C_(1))/(C_(0))+2(C_(2))/(C_(1))+3(C_(3))/(C_(2))+.........+n(C_(n))/(C_(n-1))=(n(n+1))/(2)

C_(0)C_(1)+C_(1)C_(2)+C_(2)C_(3)+...+C_(n-1)C_(n)

C0-(C1)/(2)+(C2)/(3)-............+(-1)^(n)(Cn)/(n+1)=(1)/(n+1)

RESONANCE DPP-JEE MAINS-All Questions
  1. If f:R rarr [pi/6,pi/2], f(x)=sin^(-1)((x^(2)-a)/(x^(2)+1)) is an onto...

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  2. inte^(x)((1+sinx)/(1+cosx))dx=

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  3. (C0+C1)(C1+C2)(C2+C3)(C3+C4)...........(C(n-1)+Cn)=(C0C1C2.....C(n-1)(...

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  4. It is given that the Rolles theorem holds for the function f(x)=x^3...

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  5. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

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  6. The number of solution of the equation (x+2)^(log(x+2)(6+x-x^(2)))=(x-...

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  7. The mean and variance of a binomial distribution (p+q)^n are 20 and 16...

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  8. If N=(1-cos4beta)/(sec^2 2beta-1)+(1+cos4beta)/(cosec^2 2beta-1) then ...

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  9. The radius of the circle touching the line x+y=4" at "(1, 3) and inter...

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  10. Bag I contains 3 red and 4 black balls while another Bag II contain...

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  11. 5/4-7/6-(-2)/3=\ 3/4 (b) -3/4 (-7)/(12) (d) 7/(12)

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  12. For the function f(x)=4/3x^3-8x^2+16 x+5,x=2 is a point of local maxim...

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  13. 2 tan^(-1) (cos x) = tan^(-1) (2 cosec x)

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  14. If a, b, c, d and p are different real numbers such that (a^2+b^2+...

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  15. The co-efficient of x in the expansion of (1-2x^3+3x^5)(1+1/x)^8 is:

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  16. If the function f(x) satisfies (lim)(x->1)(f(x)-2)/(x^2-1)=pi, evaluat...

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  17. Find the point at which the tangent to the curve y=sqrt(4x-3)-1 has ...

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  18. The value of lim(x-> pi/3) ((tan^3x-3*tanx)/cos(x+pi/6))

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  19. A square matrix M of order 3 satisfies M^(2)=I-M, where I is an identi...

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  20. If a function y=f(x) such that f'(x) is continuous function and satisf...

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