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If A(z1), B(z2) and C(z3) are three points in 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 a fixed circle with centre (z2 + z3)/2 (b) A, B and C are collinear points (c) ABC form an equilateral triangle (d) ABC form an obtuse angle triangle |
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Answer» If A(z1), B(z2) and C(z3) are three points in 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 a fixed circle with centre (z2 + z3)/2 (b) A, B and C are collinear points (c) ABC form an equilateral triangle (d) ABC form an obtuse angle triangle |
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