1.Consider two complex numbers α\alphaα and β\betaβ as α=a+bia−bi+a−bia+bi\alpha = \frac{a+bi}{a-bi} + \frac{a-bi}{a+bi}α=a−bia+bi+a+bia−bi where a,b∈Ra, b \in \mathbb{R}a,b∈R and β=z−1z+1\beta = \frac{z-1}{z+1}β=z+1z−1, z≠±1z \ne \pm 1z=±1 where ∣z∣=1|z| = 1∣z∣=1, thena.Both α\alphaα and β\betaβ are purely realb.Both α\alphaα and β\betaβ are purely imaginaryc.α\alphaα is purely real and β\betaβ is purely imaginaryd.β\betaβ is purely real and α\alphaα is purely imaginaryLogin to continueOnly logged in users canattempt or see the solution.
