JEE MAIN - Mathematics (2024 - 27th January Morning Shift - No. 2)
If $S=\{z \in C:|z-i|=|z+i|=|z-1|\}$, then, $n(S)$ is :
1
2
3
0
Explanation
$$|z-i|=|z+i|=|z-1|$$
_27th_January_Morning_Shift_en_2_1.png)
$$\mathrm{ABC}$$ is a triangle. Hence its circum-centre will be the only point whose distance from A, B, C will be same.
So $$n(S)=1$$
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