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if z1,z2,z3 are complexnumbers such that z3-z1 bi z2-z1 is real then show that z1,z2,z3 are collinear

if z1,z2,z3 are complexnumbers such that z3-z1 bi z2-z1 is real then show that z1,z2,z3 are collinear

Grade:11

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
5 years ago
Hii

the only condition which is satisfied when a complex number is real is that the sum of the number and its conjugate is a real number OR in other case difference between them would be zero.

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