Home
Class 12
MATHS
If i=sqrt-1, then 4+5(-1/2+(isqrt3)/2)^3...

If `i=sqrt-1,` then `4+5(-1/2+(isqrt3)/2)^334+3(-1/2+(isqrt3)/2)^365` is equal to

A

`1+isqrt(3)`

B

`-1+isqrt(3)`

C

`isqrt(3)`

D

`-isqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 1 (OBJECTIVE PROBLEMS I JEE MAIN) - SECTIONS - M, N & O|9 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 1 (OBJECTIVE PROBLEMS I JEE MAIN) - SECTIONS - S|2 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 1 (OBJECTIVE PROBLEMS I JEE MAIN) - SECTIONS -K|2 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 4 | Level - II (Previous Year | JEE Advanced|22 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

Similar Questions

Explore conceptually related problems

If i=sqrt(-1) , then 4+5(-1/2+(isqrt(3))/(2))^(334)+3(-1/2+(isqrt(3))/(2))^(365) is equal to

If i=sqrt(-)1, then 4+5(-(1)/(2)+(i sqrt(3))/(2))^(334)+3(-(1)/(2)+(i sqrt(3))/(2))^(365) is equal to (1)1-i sqrt(3)(2)-1+i sqrt(3)(3)i sqrt(3)(4)-i sqrt(3)

If i=sqrt(-1), then 4+5(-(1)/(2)+i(sqrt(3))/(2))^(334)+3(-(1)/(2)+i(sqrt(3))/(2))^(335) is equal to-

Prove that 4+5(-(1)/(2)+(i sqrt(3))/(2))^(334)+3(-(1)/(2)+(i sqrt(3))/(2))^(335)=i sqrt(3)

If i = sqrt(-1) , then 4 + 3 (-(1)/(2) + i(sqrt(3))/(2))^(127)+5(-(1)/(2)+i(sqrt(3))/(2))^(124) is equal to

Value of (-1+sqrt(-3))^(2)+(-1-sqrt(-3))^(2) is equal to

What is the value of [-1+isqrt3)//2]^(10)+[-1-isqrt3)//2]^(10)