1.For z1=1−i1+i36z_1 = \sqrt[6]{\frac{1-i}{1+i\sqrt{3}}}z1=61+i31−i, z2=1−i3+i6z_2 = \sqrt[6]{\frac{1-i}{\sqrt{3}+i}}z2=63+i1−i, z3=1+i3−i6z_3 = \sqrt[6]{\frac{1+i}{\sqrt{3}-i}}z3=63−i1+i, which of the following holds good?a.∑∣z1∣2=32\sum |z_1|^2 = \frac{3}{2}∑∣z1∣2=23b.∣z1∣4+∣z2∣4=∣z3∣−8|z_1|^4 + |z_2|^4 = |z_3|^{-8}∣z1∣4+∣z2∣4=∣z3∣−8c.∣z1∣3+∣z2∣3=∣z3∣−6|z_1|^3 + |z_2|^3 = |z_3|^{-6}∣z1∣3+∣z2∣3=∣z3∣−6d.∣z1∣4+∣z2∣4=∣z3∣8|z_1|^4 + |z_2|^4 = |z_3|^8∣z1∣4+∣z2∣4=∣z3∣8Login to continueOnly logged in users canattempt or see the solution.
