Principal value of amplitude of (1+i) is:

  • Option 1)

    \frac{\pi}{4}

  • Option 2)

    \frac{\pi}{2}

  • Option 3)

    \frac{3\pi}{4}

  • Option 4)

    \pi

 

Answers (1)

As learnt in concept

Definition of Argument/Amplitude of z in Complex Numbers -

\theta =tan^{-1}|\frac{y}{x}|, z\neq 0

\boldsymbol{\theta,\pi-\theta,-\pi+\theta,-\theta} are Principal Argument if z lies in first, second, third or fourth quadrant respectively.

- wherein

 

 In (1+i), tan\theta=1, thus \theta=\frac{\pi}{4}


Option 1)

\frac{\pi}{4}

This is correct option

Option 2)

\frac{\pi}{2}

This incorrect option

Option 3)

\frac{3\pi}{4}

This incorrect option

Option 4)

\pi

This incorrect option

Preparation Products

Knockout BITSAT 2021

It is an exhaustive preparation module made exclusively for cracking BITSAT..

₹ 4999/- ₹ 2999/-
Buy Now
Knockout BITSAT-JEE Main 2021

An exhaustive E-learning program for the complete preparation of JEE Main and Bitsat.

₹ 27999/- ₹ 16999/-
Buy Now
Exams
Articles
Questions