Question

Find the missing value when given the modulus.

|48+bi|=50

Answer 1

Answer: 14

Explanation:

Edg 2021

Answer 2

missing value b is 14

Explanation:

We have been given the modulus of a complex number which is

`r=√(a^2+b^2)`

Here on comparing the given complex number with general a+bi we get:

a=48 and b=b

On substituting the values in the formula for modulus we get:

`√(48^2+b^2)=50`

`\Rightarrow 2304+b^2=50^2`

`\Rightarrow b^2=2500-2304`

`\Rightarrow b^2=196`

`\Rightarrow b=√(196)`

`\Rightarrow b=14`

Therefore, missing value b is 14