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52.6k views
in Complex Numbers by (50.2k points)
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If a + ib = c + id, then

A. a2 + c2 = 0
B. b2 + c2 = 0
C. b2 + d2 = 0
D. a2 + b2 = c2 + d2

1 Answer

+1 vote
by (48.8k points)
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Best answer

D. a2 + b2 = c2 + d2

Given a + ib = c + id

⇒ |a + ib| = |c + id|

Squaring on both sides,

∴ a2 + b2 = c2 + d2

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