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Given that the complex numbers which sat...

Given that the complex numbers which satisfy the equation `| z bar z ^3|+| bar z z^3|=350` form a rectangle in the Argand plane with the length of its diagonal having an integral number of units, then area of rectangle is 48 sq. units if `z_1, z_2, z_3, z_4` are vertices of rectangle, then `z_1+z_2+z_3+z_4=0` rectangle is symmetrical about the real axis `a r g(z_1-z_3)=pi/4or(3pi)/4`

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