Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 2 - Complex Numbers>Exercise 1>Q 17

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IMPORTANT

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The multiplicative inverse of $z = 3 - 2 i$ is

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Important Questions on Complex Numbers

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IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 2 - Complex Numbers>Exercise 1>Q 18

If

x + i y = \frac{3}{2 + \cos θ + i \sin θ},

then

x^{2} + y^{2}

is equal to

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IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 2 - Complex Numbers>Exercise 1>Q 19

The equation $Z^{3} + i Z - 1 = 0$ has

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 2 - Complex Numbers>Exercise 1>Q 20

The amplitude of

\sin \frac{π}{5} + i (1 - \cos \frac{π}{5})

is

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IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 2 - Complex Numbers>Exercise 1>Q 21

If

\arg ({\bar{z}}_{1}) = \arg (z_{2}),

then

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 2 - Complex Numbers>Exercise 1>Q 22

{(\sin \frac{π}{5} + i \cos \frac{π}{5})}^{5}

is equal to

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 2 - Complex Numbers>Exercise 1>Q 23

If

|z_{1}| = |z_{2}| = \dots . = |z_{n}| = 1,

then

|\frac{1}{z_{1}} + \frac{1}{z_{2}} + \dots \dots + \frac{1}{z_{n}}|

.

EASY

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IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 2 - Complex Numbers>Exercise 1>Q 24

Let

z_{1}

and

z_{2}

be two complex number such that

\frac{z_{1}}{z_{2}} + \frac{z_{2}}{z_{1}} = 1

, then

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 2 - Complex Numbers>Exercise 1>Q 25

If the area of the triangle on the complex plane formed by the

3

points

z, z + i z

and

i z

is

200,

then the value of

3 |z|

must be equal to