- What is complex numbers
- |
- Properties Of complex Numbers
- |
- Conjugate of Complex Numbers
- |
- Modulus of complex numbers
- |
- Graphical Representation of Complex Number
- |
- Polar Representation of the complex number
- |
- Rotation of Complex Number
- |
- What is the significance of Complex Numbers

$z=(x,y)=x+iy$

and both x and y are real numbers and x is known as real part of complex number and y is known as imaginary part of the complex number.

z

z

Let z

z

z

(z

for z=x+iy

z

=$(\frac{a}{a^{2}+b^{2}})+i(\frac{-b}{a^{2}+b^{2}})$

To divide complex number by another , first write quotient as a fraction. Then reduce the denominator complex number to multiplicative Inverse and then simple multiplication applies

Find the value of

(1+i)/(1+2i)

The multiplicative inverse of (1+2i) is given

as

=$(\frac{a}{a^{2}+b^{2}})+i(\frac{-b}{a^{2}+b^{2}})$

=(1/5-2i/5)

So (1+i)/(1+2i)

=(1+i)(1/5-2i/5)

=1/5-2i/5+ i/5+2/5

=-i/5 +3/5

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