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Question

The points A, B and C represent the complex numbers z1,z2,(1−i)z1+iz2
respectively on the complex plane. The triangle ABC is

A
isosceles but not right-angled
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B
right-angled but not isosceles
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C
isosceles and right-angled
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D
None of these
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Solution

The correct option is A isosceles but not right-angled
z1,z2,z1+i(z2z1) are the three vertices.
We find that the magnitude of two sides is the same, i.e. |z2z1|
But we don't have any information about the perpendicular of both sides, so the triangle will be an isosceles triangle.

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