CBSE Class 11-science Answered
Convert the following complex number in polar form and represent it in Argand Plane:
![](http://images.topperlearning.com/topper/questions/4482_image038.gif)
Asked by Topperlearning User | 25 Apr, 2014, 09:48: AM
Let
Equating real and imaginary parts of both sides, we get,
Squaring and adding these two equations, we get,
Now putting the value of r in equation (1) and (2), we get
![](https://images.topperlearning.com/topper/questions/4482_image042.gif)
![](https://images.topperlearning.com/topper/questions/4482_image043.gif)
![](https://images.topperlearning.com/topper/questions/4482_image044.gif)
![](https://images.topperlearning.com/topper/questions/4482_image045.gif)
Now the value of
such that
and satisfying both the above equation is given by ![](https://images.topperlearning.com/topper/questions/4482_image047.gif)
![theta](https://images.topperlearning.com/topper/tinymce/cache/31c361c3cc58cdb507dd0c1c79aeb1ac.png)
![](https://images.topperlearning.com/topper/questions/4482_image046.gif)
![](https://images.topperlearning.com/topper/questions/4482_image047.gif)
Hence, ![](https://images.topperlearning.com/topper/questions/4482_image048.gif)
![](https://images.topperlearning.com/topper/questions/4482_image048.gif)
Which is the required polar form.
![](https://images.topperlearning.com/topper/questions/4482_image049.jpg)
Answered by | 25 Apr, 2014, 11:48: AM
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