If z1 = -3 + 5`iota` and z2 = 5 - 3`iota` and z is a complex number ly – InterviewSolution

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1.	If z1 = -3 + 5`iota` and z2 = 5 - 3`iota` and z is a complex number lying on the line segment joining z1 & z2 then arg z can be
Answer» given that `z_1= -3+5i` `z_2= 5- 3i` `PQ = z_2 - z_1` `= (5-3i)- (-3+5i) ` `= 8-8i` `arg (PQ) = theta = tan^-1((img(PQ))/(real (PQ)))` `= tan^-1(-8/8)= tan^-1(-1)` `= -tan^-1 1 = -pi/4` `theta = pi/4` since z lie on PQ so, arg(z) is `pi/4`

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