EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Complex Numbers>JKCET 2018>Q 1

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IMPORTANT

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What will be the argument of the complex number $z = 1 - \cos p + i \sin p$ ?

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Important Questions on Complex Numbers

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Complex Numbers>JKCET 2018>Q 2

What will be the argument of the complex number

z = \frac{i - 1}{e^{\frac{i π}{3}}} ?

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Complex Numbers>JKCET 2018>Q 3

\frac{[(\cos 3 t + i \sin 3 t)^{4} (\cos 4 t - i \sin 4 t)^{5} (\cos 5 t + isin 5 t)^{4}]}{(\cos 4 t + isin 4 t)^{3}} =

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Complex Numbers>JKCET 2018>Q 4

For which of the following values of

T,

the expression

\frac{(1 + i \cos T)}{(1 - 2 icos T)}

will give a real number?

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Complex Numbers>JKCET 2018>Q 5

It is given that

z_{r} = \cos (π / 2^{r}) + i \sin (π / 2^{r})

The value of the product

z_{1} \cdot z_{2} \cdot z_{3} \cdot z_{4} \dots \infty

is

EASY

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Complex Numbers>JKCET 2017>Q 6

z

is a complex number such that

\arg (z) < 0 .

What will be the value of

\arg (- z) - \arg (z) ?

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Complex Numbers>JKCET 2017>Q 7

Which term of the sequence

{9 - 8 i, 8 - 6 i, 7 - 4 i, \dots}

is a real number?

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Complex Numbers>JKCET 2017>Q 8

What should be the positive value of

p

so that the magnitude of

(3 + p i)

, where

i = \sqrt{(} - 1)

, is twice that of

(\frac{3}{4}) + p i

?

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Complex Numbers>JKCET 2017>Q 9

\sin (i x) =