$i^{124}=?$

Important Questions on Complex Numbers

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 5

$i^{-75}=?$

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 6

$i^{-38}=?$

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 7

For any positive integer $n, {\left(-\sqrt{-1}\right)}^{4n+3}=$

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 8

If $i=\sqrt{-1}$ and $n$ is a positive integer then $\left(i^n+i^{n+1}+i^{n+2}+i^{n+3}\right)=?$

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 9

$\left(i^{109}+i^{114}+i^{119}+i^{124}\right)=?$

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 10

$3i^{34}+5i^{27}-2i^{38}+5i^{41}=?$

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 11

If $a \text{and} b$ are integers then $\sqrt{a}\times \sqrt{b}=\sqrt{ab}$ is true only when

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 12

$\sqrt{-9}\times \sqrt{-25}=?$