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13. Complex Numbers
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Q6 of 153 Page 13

If z1 = 2 – i, z2 = -2 + i, find

i.


ii.

Given:


⇒ z1=2-i and z2=-2+i


i. We need to find


⇒


⇒


⇒


∴ The Real part of is -2.


ii. We need to find


We know that


⇒


We know that for a complex number Z=a+ib it’s magnitude is given by


⇒


⇒


⇒


⇒


∴ The Imaginary part of the is .


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4

Find the multiplicative inverse of the following complex numbers :

√5 + 3i

5

If z1 = 2 – i, z2 = 1 + i, find

7

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8

If prove that x2 + y2 = 1

Questions · 153
13. Complex Numbers
1 2 3 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 5 6 7 8 9 10 11 12 13 14 15 16 16 16 16 16 17 18 19 20 21 22 23 24 25 26 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3 4 5 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43
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