Home
Class 12
MATHS
I : i^2+i^4+i^6+......(2n+1) terms = - ...

I : `i^2+i^4+i^6+......(2n+1)` terms = - 1
II : `1+i^2+i^4+i^6+......i^(2n)=0`

A

only I is true

B

only II is true

C

both I and II are true

D

neither I nor II are true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 2)|6 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 3)|6 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1|201 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos

  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|12 Videos

Similar Questions

Explore conceptually related problems

Simplifiy i^(2)+i^(4)+i^(6)+.....+(2n+1) terms

Statement - I : If n = 4m + 3 , is integer then i^(n) is equal to -i Statement- II : If n in N then (1 + i)^(2n) + (1- i)^(2n) is purely real number

i+ i^(2) + i^(3) + i^(4) + …. + i^(100)

The value of ((1 + i)^(2n + 1))/((1- i)^(2n -1)) =

Simplify i^18-3i^7 +i^2 (1 +i^4) (-i)^26 .

I : The additive inverse of i- 2 is 2 - i II : The multiplicative inverse of 1 - I " is "1 +i

If n is a positive integer, show that (1 + i)^(n) + (1 - i)^(n) = 2 ^((n+2)/2) cos ((npi)/4) .

If (1-i)(2-i)(3-i)....(1-ni)=x- iy then prove that 2.510..... (1+n)^(2)=x^(2)+y^(2)

The value of (1 + i)^(6) + (1 - i)^(6) is