9. 12i2 – 4i2 + 8,2 – 4i2=
(a) 1
(b) 0
(c) 4
(d) 4
Answers
Answer:
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Question 1:
Express the given complex number in the form a + ib: (5i)(-3i/5)
Answer:
(5i)(-3i/5) = (-5 * 3/5) * i * i
= -3 * i2
= -3 * (-1) [Since i2 = -1]
= 3
Question 2:
Express the given complex number in the form a + ib: i9 + i19
Answer:
i9 + i19 = i4*2 + 1 + i4*4 + 3
= (i4)2 * i + (i4)4 * i3
= (1)2 * i + (1)4 * i * i2 [Since i4 = 1]
= i + i * (-1) [Since i2 = -1]
= i – i
= 0
Question 3:
Express the given complex number in the form a + ib: i-39
Answer:
i-39 = i-4 * 9 - 3
= (i-4)9 * i-3
= 19 * i-3 [Since i4 = 1]
= i-3
= 1/ i3
= i4/ i3 [Since i4 = 1]
= i