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प्रश्न
If a = 1 + i, then a2 equals
विकल्प
1 − i
2i
(1 + i) (1 − i)
i − 1.
उत्तर
2i
a = 1 + i
On squaring both the sides, we get,
a2 = (1 + i)2
\[\Rightarrow\] a2 = 1 + i2 + 2i
\[\Rightarrow\] a2 = 1 \[-\] 1 + 2i ( ∵ i2 = \[-\] 1)
\[\Rightarrow\] a2 = 2i
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