MCQ
Choose the correct answer.
If a + ib = c + id, then:
  • A
    a2 + c2 = 0
  • B
    b2 + c2 = 0
  • C
    b2 + d2 = 0
  • D
    a2 + b2 = c2 + d2

Answer

  1. a2 + b2 = c2 + d2

Solution:

Given that $\text{a}+\text{ib}=\text{c}+\text{id}$

$\Rightarrow|\text{a}+\text{ib}|=|\text{c}+\text{id}|$

$\Rightarrow\sqrt{\text{a}^2+\text{b}^2}=\sqrt{\text{c}^2+\text{d}^2}$

Squaring both sides, we get a2 + b2 = c2 + d2

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