WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 17

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11th West Bengal Board

IMPORTANT

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If $(a + i b) = \sqrt{\frac{1 + i}{1 - i}}$ then the value of $(a^{2} + b^{2})$ is

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Important Questions on Complex Numbers

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 18

The smallest positive integer

n

for which If

{(\frac{1 + i}{1 - i})}^{n} = 1

MEDIUM

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 19

If

(a^{2} + b^{2}) = 1

then

\frac{(1 + b + i a)}{(1 + b - i a)} = ?

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 20

(\frac{1 + 2 i}{1 - i})

lies in

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 21

If

(x + i y) = (\frac{a + i b}{c + i d})

then

(x^{2} + y^{2}) = ?

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 22

{(1 + i)}^{- 1} = ?

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11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 23

{(1 - 2 i)}^{- 2} = ?

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11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 24

{(1 - i)}^{- 3} = ?

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11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 29 - Complex Numbers>EXERCISE 1>Q 25

(2 - 3 i) (- 3 + 4 i) = ?