If z 0 , z 1 represents points P, Q on the locus |z–1|=1 and the line segment PQ subtends…
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
If z0, z1 represents points P, Q on the locus |z–1|=1 and the line segment PQ subtends an angle \(\frac{\pi}{2}\)at the points z = 1, then z1 is equal to
- 1 + i (z0 –1)
- \(\frac{\mathrm{i}}{\mathrm{z}_{0}-1}\)
- 1 – i (z0 –1)
- i (z0 –1)
Answer
(A) 1 + i (z 0 –1), (C) 1 – i (z 0 –1)
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