Complex Number and Quadratic Equations
If z1,z2,z3,z4 are complex numbers in an Argand plane satisfying z1+z3=z2+z4. A complex number ′z′ lies on the line joining z1 and z4 such that Arg(z1−z2z−z2)=Arg(z−z2z3−z2). It is given that ∣z−z4∣=5,∣z−z2∣=∣z−z3∣=6 then
Assertion :z is a unimodular complex number.
Reason :STATEMENT-2 : zˉ=cos(argz)−isin(argz)