Question
Which of the following complex numbers is equal to is
( 5 + 12i ) – ( 9i2 – 6i ), for i = ?
- 5 - 12i
- 5 + 18i
- 14 - 18i
- 14 + 18i
The correct answer is: 14 + 18i
HINT – Open the brackets and solve
SOLUTION – Given complex number is ( 5 + 12i ) – ( 9i2 – 6i )
Opening the brackets
We get , 5 + 12i – 9i2 + 6i
5 + 18i – 9i2
We know that i2 = - 1. ---- (1)
Using (1), we get, 5 + 18i – 9 ( - 1)
5 + 18i + 9
14 + 18i
So, option D is correct
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