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
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
right-angled but not isosceles
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
isosceles and right-angled
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
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.