Aptitude : : Complex Number Questions & Answers
- Find a and b, where a and b are real numbers so that a + ib = (2 - i)2
A. a = 3 and b = - 4
B. a = - 4 and b = 3
C. a = 3 and b = 4
D. a = 4 and b = - 3
- Compute real and imaginary part of $Z=\dfrac{\text{i}-4}{2\text{i}-3}$
A. Re(Z) = $\dfrac{14}{13}$ and Im(Z) = $\dfrac{5}{13}$
B. Re(Z) = $\dfrac{5}{13}$ and Im(Z) = $\dfrac{14}{13}$
C. Re(Z) = $\dfrac{5}{13}$ and Im(Z) = $\dfrac{5}{13}$
D. Re(Z) = $\dfrac{14}{13}$ and Im(Z) = $\dfrac{14}{13}$
- Simplify the given expression $\text{i}^3 + \text{i}^6 + \text{i}^9 $
A. - i
B. 1
C. -1
D. i
- Any integral power of i (iota) can be expressed as :
A. ± 1
B. ± i
C. ± 1 or ± i
D. None of these
- If z is a complex number, then z ⚹ z = 0 if and only if
A. z = 0
B. Re(z) = 0
C. Im(z) = 0
D. None of these