Question

If a+ib / c+ id= x+ iy
then
prove .
that
a²+b²/ c²+ d²=x²+ y²


​

Answer 1

Answer:

$\frac{ {a}^{2} + {b}^{2} }{ {c}^{2} + {d}^{2} } = {x}^{2} + {y}^{2}$

Step-by-step explanation:

$\frac{a + ib}{c + id} = x + iy \\ \\ taking \: modulous \: on \: both \: sides \: \\ \\ \frac{modulous \: of \: (a + ib)}{modulous \: of \: (c + id)} = modulous \: of \: (x + iy) \\ \\ \\ | \frac{a + ib}{c + i d} | = |x + iy| \\ \: \: \frac{ {a}^{2} + {b}^{2} }{ {c}^{2} + {d}^{2} } = {x}^{2} + {y}^{2}$