The value of

Question:

If $\operatorname{Re}\left(\frac{z-1}{2 z+i}\right)=1$, where $z=x+i y$, then the point $(x, y)$ lies on a :

  1. circle whose centre is at $\left(-\frac{1}{2},-\frac{3}{2}\right)$

  2. circle whose diameter is $\frac{\sqrt{5}}{2}$

  3. straight line whose slope is $\frac{3}{2}$

  4. straight line whose slope is $-\frac{2}{3}$


Correct Option: , 2

Solution:

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now