Home
Class 12
MATHS
Find the value of (i^(592)+i^(590)+i^(5...

Find the value of `(i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))-1`

A

`-2`

B

`0`

C

`2`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
A

`(i^(584)(i^(8)+i^(6)+i^(4)+i^(2)+1))/(i^(574)(i^(8)+i^(6)+i^(4)+i^(2)+1))-1=(i^(584))/(i^(574)) -1`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    CENGAGE|Exercise Exercise 3.2|9 Videos
  • COMPLEX NUMBERS

    CENGAGE|Exercise Exercise 3.3|7 Videos
  • COMPLEX NUMBERS

    CENGAGE|Exercise Examples|125 Videos
  • CIRCLES

    CENGAGE|Exercise Question Bank|32 Videos
  • CONIC SECTIONS

    CENGAGE|Exercise Solved Examples And Exercises|91 Videos

Similar Questions

Explore conceptually related problems

the value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))+2

Find the value of (i) (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))-1 (ii)(1+i)^6+(1-i)^6

Write the value o (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))

The value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))-1 is a. -1 b. -2 c. -3 d. -4

1) Find the value of i^(i)

Prove that: (i) 1+i^(2)+i^(4)+i^(6)=0 (ii) 1+i^(10)+i^(100)+i^(1000)=2 (iii) i^(104)+i^(109)+i^(114)+i^(119)=0 (iv) 6i^(54)+5i^(37)-2i^(11)+6i^(68)=7i (v) (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))=-1

Find the value of i^(2)+(-i)^(4)-i^(6) .

Find the value of 1+i^2+i^4+i^6

The value of i^(1+i) is