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Question
If a + ib = c + id, then ______.
Options
a2 + c2 = 0
b2 + c2 = 0
b2 + d2 = 0
a2 + b2 = c2 + d2
Solution
If a + ib = c + id, then a2 + b2 = c2 + d2.
Explanation:
Given that: a + ib = c + id
⇒ |a + ib| = |c + id|
⇒ `sqrt(a^2 + b^2) = sqrt(c^2 + d^2)`
Squaring both sides, we get
a2 + b2 = c2 + d2
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