UP TGT Mathematics Complex Numbers Test Series - Part 3

The multiplicative inverse of complex number 3 + 4i is:

Type: MCQ • Marks: 1
The multiplicative inverse of complex number 3 + 4i is:
Options
A. 3/25 - 4/25 i
B. -3/25 + 4/25 i
C. 3/5 - 4/5 i
D. 3/7 + 4/7 i
Explanation
Inverse of z = a + ib is (a - ib)/(a² + b²). Here (3 - 4i)/(3² + 4²) = 3/25 - 4/25 i.
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