If (z3-z1)/(z2-z1) is a real number , show that the points represented by the numbers z1,z2,z3 are collinear - Maths - Complex Numbers

Question

If (z3-z1)/(z2-z1) is a real number , show that the points
represented by the numbers z1,z2,z3 are collinear

Rupesh · Answer

Arg(z1-z3/z1-z2)=0 then z1-z3/z1-z2 is real thita=0 Therefore
z1,z2,z3 are collinear

If (z3-z1)/(z2-z1) is a real number , show that the points represented by the numbers z1,z2,z3 are collinear.