If A (z 1 ), B (z 2 ) and C (z 3 ) be the vertices of a triangle ABC in which ABC = 4 and…
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
If A (z1), B (z2) and C (z3) be the vertices of a triangle ABC in which \(\angle \mathrm{ABC}=\frac{\pi}{4} \text { and } \frac{\mathrm{AB}}{\mathrm{BC}}=\sqrt{2},\)then the value of z2 is equal to
- z3 + i (z1 + z3)
- z3 – i (z1 – z3)
- z3 + i (z1 – z3)
- None of these
Answer
(B) z 3 – i (z 1 – z 3 ), (C) z 3 + i (z 1 – z 3 )
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