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Complex Numbers question

2020 · 7 Jan · Shift 1 · Q25
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  5. /2020 · 7 Jan · Shift 1 · Q25

Complex Numbers question

2020 · 7 Jan · Shift 1 · Q25

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If Reolimits(z−12z+i)=1{\mathop{\rm Re} olimits} \left( {{{z - 1} \over {2z + i}}} \right) = 1Reolimits(2z+iz−1​)=1, where z = x + iy, then the point (x, y) lies on a :
  1. A
    straight line whose slope is 32{3 \over 2}23​
  2. B
    straight line whose slope is −23-{2 \over 3}−32​
  3. C
    circle whose diameter is 52{{\sqrt 5 } \over 2}25​​
  4. D
    circle whose centre is at (−12,−32)\left( { - {1 \over 2}, - {3 \over 2}} \right)(−21​,−23​)
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