All the points in the set S={(α+i)/(α−i)... | Complex Numbers

JEE MAIN 2019

09-04-2019 - S1

Question

All the points in the set $\mathrm{S}=\left\{\frac{\alpha+\mathrm{i}}{\alpha-\mathrm{i}}: \alpha \in \mathrm{R}\right\}(\mathrm{i}=\sqrt{-1})$ lie on a :

Select the correct option:

Straight line whose slope is 1

Circle whose radius is $\sqrt{2}$

Circle whose radius is 1

Straight line whose slope is –1

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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