\[\begin{array}{1 1}(1)purely \; imaginary& (2)purely\; real \\(3)0&(4) neither \;real\;nor\;imaginary\end{array}\]

Want to ask us a question? Click here

Browse Questions

Ad |

0 votes

0 votes

The complex number purely imaginary

Let the complex number be $z= x+iy$

Given amplitudeof $z= \large\frac{\pi}{2}$

$\tan ^{-1} \bigg( \large\frac{y}{x} \bigg) =\large\frac{\pi}{2}$

$\large\frac{y}{x} $$ =\tan \large\frac{\pi}{2}$

$\large\frac{y}{x} $$ =\infty$

$\quad= \large\frac{1}{0}$

$0=x$

Hence 1 is the correct answer.

Ask Question

Take Test

x

JEE MAIN, CBSE, AIPMT Mobile and Tablet App

The ultimate mobile app to help you crack your examinations

...