1.

Given `z=(1+isqrt(3))^(100),`then `[R E(z)//I M(z)]`equals`2^(100)`b. `2^(50)`c. `1/(sqrt(3))`d. `sqrt(3)`A. `2^(100)`B. `2^(50)`C. `(1)/(sqrt(3))`D. `sqrt(3)`

Answer» Correct Answer - C
`z=(1+isqrt(3))^(100)=2^(100)(cos""(pi)/(3)+isin""(pi)/(3))^(100)`
`=2^(100)(cos""(100pi)/(3)+isin""(100pi)/(3))`
`=2^(100)(-cos""(pi)/(3)-isin""(pi)/(3))`
`=2^(100)(-(1)/(2)-(isqrt(3))/(2))`
`rArr (Re(z))/(Im(z))=(-1//2)/(-sqrt(3)//2)=(1)/(sqrt(3))`


Discussion

No Comment Found

Related InterviewSolutions