If a + ib = c + id, then: 1. a2 + c2 = 0 2. b2 + c2 = 0 3. b2 + d… - Vidyadip

Question

If a + ib = c + id, then:

a² + c² = 0
b² + c² = 0
b²+ d² = 0
a² + b² = c² + d²

✓

Answer

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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