If , where , then is equal…

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

If (x+iy)1/3=a+ib(x+iy)^{1/3}=a+ib, where i=−1i=\sqrt{-1}, then (xa+yb)\left(\frac{x}{a}+\frac{y}{b}\right) is equal to (1) 4a2b24a^2b^2 (2) 4(a2−b2)4(a^2-b^2) (3) 4a2−b24a^2-b^2 (4) a2+b2a^2+b^2

Related theory

Browse the problem library