Q. 5 B4.3( 29 Votes )
Convert the following in the polar form:

Answer :
We have,
Now, by multiplying numerator and denominator by 1 + 2i we get:
=
=
=
= - 1 + i
Let us assume and
Now by squaring and adding the given values, we get:
We know that,
∴ r2 = 2
As conventionally r > 0, thus
Also,
As lies in the 2nd quadrant
∴
Hence,
=
=
This is the required polar form of the given equation
Rate this question :






















Find the modulus of each of the following complex numbers and hence express each of them in polar form: 1 – i
RS Aggarwal - MathematicsFind the modulus of each of the following complex numbers and hence express each of them in polar form: –i
RS Aggarwal - MathematicsFind the modulus of each of the following complex numbers and hence express each of them in polar form:
Find the modulus of each of the following complex numbers and hence express each of them in polar form:
Find the modulus of each of the following complex numbers and hence express each of them in polar form:
Find the modulus of each of the following complex numbers and hence express each of them in polar form:
Find the modulus of each of the following complex numbers and hence express each of them in polar form: –1 + i
RS Aggarwal - MathematicsWrite 2i in polar form.
RS Aggarwal - MathematicsFind the principal argument of (–2i).
RS Aggarwal - Mathematics