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If A(z1), B(z2) and C(z3) are three points on the argand plane where |z1 + z2| = ||z1| - |z2|| and |(1 - i)z1 + iz3| = |z1| + |z3 - z1|, where i= √(- 1) then (a) A, B and C lie on the fixed circle with centre (z1 + z2)/2 (b) A, B and C are collinear points (c) ABC form an equilateral triangle (d) ABC form an obtuse angled triangle |
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Answer» If A(z1), B(z2) and C(z3) are three points on the argand plane where |z1 + z2| = ||z1| - |z2|| and |(1 - i)z1 + iz3| = |z1| + |z3 - z1|, where i= √(- 1) then (a) A, B and C lie on the fixed circle with centre (z1 + z2)/2 (b) A, B and C are collinear points (c) ABC form an equilateral triangle (d) ABC form an obtuse angled triangle |
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