If z = 2 - 3i then z2 - 4z + 13 = - Vidyadip

MCQ

If z = 2 - 3i then z² - 4z + 13 =

A
0
B
1
C
2
D
3

✓

Answer

0

Solutions:

z = 2 - 3i

z² = 2² - 3² - 12i

= -5 - 12i

$\therefore$ z² - 4z + 13

= (-5 - 12i) - 4(2 - 3i) + 13

= -5 - 12i - 8 + 12i + 13

= -13 + 13

= 0

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