Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
0 votes

If the amplitude of a complex number is $\pi/2$ then the number is

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

Can you answer this question?

1 Answer

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$
$\quad= \large\frac{1}{0}$
Hence 1 is the correct answer.
answered May 14, 2014 by meena.p

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App