Respuesta :

Given:-

[tex]\frac{1}{3+4i}[/tex]

To find the a+ib form.

So now we take conjucate,

[tex]\frac{1}{3+4i}=\frac{1}{3+4i}\times\frac{3-4i}{3-4i}=\frac{3-4i}{3^2+4^2}=\frac{3-4i}{9+16^{}}=\frac{3-4i}{25^{}}=\frac{3-4i}{25^{}}[/tex]

So the correct option is OPTION B