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Let z1, z2, z3 be the three nonzero comp...

Let `z_1, z_2, z_3` be the three nonzero complex numbers such that `z_2!=1,a=|z_1|,b=|z_2|a n d c=|z_3|dot` Let `|(a, b, c), (b, c, a), (c,a,b) |=0` `a r g(z_3)/(z_2) equal to (a) arg((z_3-z_1)/(z_2-z_1))^2` (b) orthocentre of triangle formed by `z_1, z_2, z_3, i sz_1+z_2+z_3` (c)if triangle formed by `z_1, z_2, z_3` is equilateral, then its area is `(3sqrt(3))/2|z_1|^2` (d) if triangle formed by `z_1, z_2, z_3` is equilateral, then `z_1+z_2+z_3=0`

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