JEE PYQ: Complex Numbers Question 33
Question 33 - 2019 (12 Apr Shift 1)
The equation $|z - i| = |z - 1|$, $i = \sqrt{-1}$, represents:
(1) a circle of radius $\frac{1}{2}$
(2) the line through the origin with slope $1$
(3) a circle of radius $1$
(4) the line through the origin with slope $-1$
Show Answer
Answer: (2)
Solution
$|z-i| = |z-1|$: equidistant from $i$ and $1$. Perpendicular bisector of segment from $(1,0)$ to $(0,1)$: $y = x$. Line through origin with slope 1.
BETA
