EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Complex Numbers>CG PET 2018>Q 3

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IMPORTANT

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If $e^{i θ} = \cos θ + i \sin θ$ , the the value of $\frac{{(1 + i)}^{2}}{1 - i}$ is

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Important Questions on Complex Numbers

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Complex Numbers>CG PET 2019>Q 4

The value of

{(1 + i)}^{8} + {(1 - i)}^{8}

is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Complex Numbers>CG PET 2019>Q 5

If

|z_{1}| = |z_{2}|

and

\arg (z_{1}) + \arg (z_{2}) = 0

, then

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Complex Numbers>CG PET 2019>Q 6

If

z

is a point on the argand plane such that

|z - 1| = 1,

then

\frac{z - 2}{z}

is equal to

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Complex Numbers>CG PET 2018>Q 7

If for complex numbers

z_{1}

and

z_{2}

, arg

(\frac{z_{1}}{z_{2}}) = 0

, then

|z_{1} - z_{2}|

is equal to

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Complex Numbers>CG PET 2019>Q 8

If

ω

is a non-real cube root of unity, then the expression

(1 - ω) (1 - ω^{2}) (1 + ω^{4}) (1 + ω^{8})

is equal to