Q48 / 160 · AP EAMCET 2025 (22 MAY SHIFT 2) · Mathematics

If $z=x+i y$ and $x^2+y^2=1$, then $\frac{1+x+i y}{1+x-i y}=$

A
$\bar{z}$
Correct answer
B
z
C
$z+1$
D
$z-1$

Hence, the correct answer is option: 'B'.

More Complex Number Questions

Let satisfy and Statement-I : z is a real number Statement-II : Principal argument of z is . Then27 May, 2025 (M)Complex Number
If and are two non-zero complex numbers and are non zero real numbers such that , then is27 May, 2025 (M)Complex Number
If and is any non zero complex number such that , then21 May, 2025 (E)Complex Number
If , then21 May, 2025 (E)Complex Number
If and are two non-zero complex numbers such that and then27 May, 2025 (M)Conjugate, modulus and argument
If a complex number represents a point on the Argand plane and , then the locus of is a26 May, 2025 (M)Locus Based on Distance Formula