Home
Class 12
MATHS
Let i^(2)=-1, then (i^(10)-1/(i^(11)))+(...

Let `i^(2)=-1`, then `(i^(10)-1/(i^(11)))+(i^(11)-1/(i^(12)))+(i^(12)-1/(i^(13)))+(i^(13)-1/(i^(14)))+(i^(14)+1/(i^(15)))` is equal to a)`-1+i` b)`-1-i` c)`1+i` d)`-i`

A

`-1+i`

B

`-1-i`

C

`1+i`

D

`-i`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

(10i)/(1+2i) is equal to

The value of (i^(18) + ((1)/(i))^(25))^(3) is equal to

The value of i - i^(2) + i^(3) - i^(4) +.......-i^(100) is equal to a)i b)-i c)1-i d)0

((-1+i sqrt3)^(15))/((1-i)^(20)) + ((-1-i sqrt3)^(15))/((1+i)^(20)) is equal to

If z = (2-i)/(i) , then R e(z^(2)) + I m(z^(2)) is equal to a)1 b)-1 c)2 d)-2

The value of (1)/(i) + (1)/(i^2) + (1)/(i^3) + …. + (1)/(i^(102) ) is

((1+cos(pi/(12))+i sin ((pi)/(12)))/(1+cos (pi/(12))- i sin (pi/(12))))^(72) is equal to

If ((1+i)(2+3i)(3-4i))/((2-3i)(1-i)(3+4i)) = a + ib , then a^(2) + b^(2) is equal to

If A= [(1,0),(1,1)] then A^(n)+nI is equal to a) I b)nA c)nA-I d)I+nA

The value of Sigma_(k=0)^(n)(i^(k)+i^(k+1)) , where i^(2)=-1 , is equal to