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Complex Numbers question

2019 · 9 Apr · Shift 1 · Q29
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  5. /2019 · 9 Apr · Shift 1 · Q29

Complex Numbers question

2019 · 9 Apr · Shift 1 · Q29

JEE MainMathematicsComplex NumbersMCQ+4 / −1
All the points in the set S={α+iα−i:α∈R}(i=−1)S = \left\{ {{{\alpha + i} \over {\alpha - i}}:\alpha \in R} \right\}(i = \sqrt { - 1} )S={α−iα+i​:α∈R}(i=−1​) lie on a :
  1. A
    straight line whose slope is –1
  2. B
    straight line whose slope is 1.
  3. C
    circle whose radius is 1.
  4. D
    circle whose radius is 2\sqrt 22​ .
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