Complex Numbers 2 Question 23
24. Let and be complex numbers such that and . If has positive real part and has negative imaginary part, then may be
(1986, 2M)
(a) zero
(b) real and positive
(c) real and negative
(d) purely imaginary
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Answer:
Correct Answer: 24. (c)
Solution:
- Given,
Now,
As, we know
which is purely imaginary or zero.