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Mathematics · 2020
JEE Main · 7 January 2020, Shift 1 · Q52
If Re ((z-1)/(2 z+i))=1, where z=x+i y, then the point (x, y) lies on a:
If $\displaystyle \operatorname{Re}\left(\frac{z-1}{2 z+i}\right)=1$, where $\displaystyle z=x+i y$, then the point $\displaystyle (x, y)$ lies on a :
Official answer
(4)
circle whose diameter is $\displaystyle \frac{\sqrt{5}}{2}$.
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.