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If z = 1/3 + (1.3)/(3.6) + (1.3.5)/(3.6....

If `z = 1/3 + (1.3)/(3.6) + (1.3.5)/(3.6.9) + .... `then

A

`p^(2)-2p+2=0`

B

`p^(2)+2p-2=0`

C

`p^(2)-2p-2=0`

D

none of these

Text Solution

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The correct Answer is:
B
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FIITJEE-MATHEMATICS TIPS-ASSIGNMENT -OBJECTIVE
  1. If one root of the equation z^2-a z+a-1=0i s(1+i),w h e r ea is a comp...

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  2. If A=[{:(p,q),(r,s):}] satisfying equation x^(2)-(p+s)x+lambda=0, then

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  3. If z = 1/3 + (1.3)/(3.6) + (1.3.5)/(3.6.9) + .... then

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  4. Consider the set of equation x+y+xy=35,y+z+yz=8,z+x+zx=3. If z(1),z(2)...

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  5. Let z(1),z(2) be two distinct complex numbers with non-zero real and i...

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  6. The coefficient of a^8b^4c^9d^9 in (a b c+a b d+a c d d+b c d)^(10) is...

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  7. Let aa n db be the roots of the equation x^2-10 c x-11 d=0 and those o...

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  8. If four whole numbers taken art random are multiplied together, the...

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  9. Let vec(x),vec(y) be two non-collinear vectors such that. (l+2m)vec(...

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  10. Let a, p, q, r, s in R-{0}. If 3a^(2)+2((1)/(p)-(1)/(s))a+(1)/(p^(2))+...

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  11. Sum of all divisors of 5400 whose unit digit is 0 is

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  12. Sequence {tn} of positive terms is a G.P If t6 2, 5, t14 form another ...

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  13. If A("mxn") is a matrix and I and I' are unit matrices such that I'AI ...

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  14. Let A be a square matrix of order 3 such that transpose of inverse of ...

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  15. If |{:(bc-a^(2),ac-b^(2),ab-c^(2)),(ac-b^(2),ab-c^(2),bc-a^(2)),(ab-c^...

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  16. If "log"(1//sqrt(2))|z+1|lt log(1//sqrt(2))|z-1|,|z-2i|lt |z+2i| and ...

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  17. Let z in C and if A={z:"arg"(z)=pi/4}and B={z:"arg"(z-3-3i)=(2pi)/3}. ...

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  18. The term that is independent of x, in the expression ((3)/(2)x^(2)-(1)...

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  19. The value of a for which the equation x^3 + ax + 1 = 0 and x^4+ ax + ...

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  20. Let a(n)=(827^(n))/(n!) for n in N , then a(n) is greatest when

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