The complex number lies in which quadrant of the complex plane1+2i1-i(

1.	The complex number lies in which quadrant of the complex plane1+2i1-i(A) First(B) Second(C) Third(D) Fourth
Answer» Multiply by (1+i) in numerator and denominator both (1+2i)(1+i)/(1-i)(1+i) = (1+i+2i -2)/1+1 = (-1 + 3i)/2 As we see, Real parts is negative while imaginary parts is positive Hence this will lie in 4th Quadrant

The complex number lies in which quadrant of the complex plane1+2i1-i(A) First(B) Second(C) Third(D) Fourth

Answer»

Multiply by (1+i) in numerator and denominator both

(1+2i)(1+i)/(1-i)(1+i)

= (1+i+2i -2)/1+1

= (-1 + 3i)/2

As we see,

Real parts is negative while imaginary parts is positive

Hence this will lie in 4th Quadrant