1. The conjugate of complex number z = 3 - i is .......... .

Question

Fill in the blanks: 

1. The conjugate of complex number z = 3 - i is .......... .

2. If (2 + i) (2 + 2i) (2 + 3i) ....... (2 + ni) = x + iy, then 5.8.13 ......... (4 + n²) = .......... .

3. If |z| = 5 and arg(z) = \(\frac{\pi}{4}\) then z = .......... .

4. The value of i¹¹¹ + 2i^{29 - \(\frac{3}{{i^{99}}}\)} ............ .

5. For any complex number z = 3 + 4i the multiplicative inverse is ............ .

Answer 1

1. 3 + i

2. x² + y²

3. z = 5 \((cos \frac{\pi}{4} +i\ \sin \frac{\pi}{4})\)

4. - 2i

5. \(\frac{3-4i}{25}\)