JEE Main 2019 — Math solution

JEE Main2019Math

The equation $∣ z - i ∣ = ∣ z - 1 ∣, i - 1$ , represents :

Solution

$∣ z - 1 ∣ = ∣ z - i ∣ L e t z = x + i y (x - 1)^{2} + y^{2} = x^{2} + (y - 1)^{2} 1 - 2 x = 1 - 2 y \Rightarrow x - y = 0$

Locus is straight line with slope 1

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