MATHEMATICS for CLASS XI>Chapter 13 - Complex Numbers>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 10

EASY

11th CBSE

IMPORTANT

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Write the least positive integral value of $n$ for which ${(\frac{1 + i}{1 - i})}^{n}$ is real.

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Important Questions on Complex Numbers

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 13 - Complex Numbers>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 11

If the principal argument of

(1 + i \sqrt{3})^{2}

is

m π

, then the value of

m

is

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 13 - Complex Numbers>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 12

Find

z

, if

| z | = 4

and

\arg (z) = \frac{5 π}{6}

.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 13 - Complex Numbers>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 13

If

| z - 5 i | = | z + 5 i |

, then find the locus of

z

.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 13 - Complex Numbers>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 14

If

\frac{{(a^{2} + 1)}^{2}}{2 a - i} = x + i y,

find the value of

x^{2} + y^{2}

.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 13 - Complex Numbers>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 15

Write the value of

\sqrt{- 25} \times \sqrt{- 9}

.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 13 - Complex Numbers>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 16

Write the sum of the series

i + i^{2} + i^{3} + \dots

upto

1000

terms.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 13 - Complex Numbers>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 17

Write the value of

\arg (z) + \arg (\bar{z})

.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 13 - Complex Numbers>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 18

If

| z + 4 | \leq 3

, then find the greatest and least values of

| z + 1 |

.