Given that the complex numbers which sat...

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

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