EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Complex Numbers>BITSAT 2019>Q 1

HARD

BITSAT

IMPORTANT

Earn 100

The value of $λ$ for which the loci $\arg z = \frac{π}{6}$ and $| z - 2 \sqrt{3} i | = λ$ on the argand plane touch each other is

33.33% studentsanswered this correctly

Important Questions on Complex Numbers

HARD

BITSAT

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Complex Numbers>BITSAT 2019>Q 2

If

z_{1}

and

{\bar{z}}_{1}

represents adjacent vertices of a regular polygon of

n

sides and if

\frac{I m (z_{1})}{R e (z_{1})} = \sqrt{2} - 1

, then

n

is equal to

EASY

BITSAT

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Complex Numbers>BITSAT 2018>Q 3

The

n^{th}

roots of unity are in

EASY

BITSAT

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Complex Numbers>BITSAT 2017>Q 4

If

z = a + i b

satisfies

\arg (z - 1) = \arg (z + 3 i)

, then

(a - 1) : b =

HARD

BITSAT

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 5 - Complex Numbers>BITSAT 2017>Q 5

If

z_{1}, z_{2}

and

z_{3}

represent the vertices of an equilateral triangle such that

|z_{1}| = |z_{2}| = |z_{3}|

then