jee-main 2020 Q52

jee-main · India · session2_05sep_shift2 Complex Numbers Arithmetic Trigonometric/Polar Form and De Moivre's Theorem

The value of $\left(\frac{-1+i\sqrt{3}}{1-i}\right)^{30}$ is:
(1) $6^5$
(2) $2^{15}\mathrm{i}$
(3) $-2^{15}$
(4) $-2^{15}\mathrm{i}$

The value of $\left(\frac{-1+i\sqrt{3}}{1-i}\right)^{30}$ is:\\
(1) $6^5$\\
(2) $2^{15}\mathrm{i}$\\
(3) $-2^{15}$\\
(4) $-2^{15}\mathrm{i}$