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Question
Find the modulus of the following complex numbers
`(2"i")/(3 + 4"i")`
Solution
Let z = `(2"i")/(3 + 4"i")`
= `(2"i")/(3 + 4"i") xx (3 - 4"i")/(3 - 4"i")`
= `(8 + 6"i")/25`
Modulus of z = |z|
= `1/25 sqrt(8^2 + 6^2)`
= `1/25 sqrt(100)`
= `10/25`
= `2/5`
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