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