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NCERT Class XI Mathematics - Complex Numbers and Quadratic Equations - Solutions

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Question : 11
Total: 52
4 - 3i
Solution:  
Let z = 4 – 3i Then
−
z
 = 4 + 3i ... (i)
and |z|2 = (4)2+(3)2 = 25 ... (ii)
z−1 =
−
z
|z|2
 =
4+3i
25
 (By using (i) and (ii))
=
4
25
+i
3
25
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