question_answer

If\[z=x-2y\]and\[{{z}^{1/3}}=p+iq,\]. Then \[{\left( \frac{x}{p}+\frac{y}{q} \right)}/{({{p}^{2}}+{{q}^{2}})}\;\] is equal to

A) 1             

B)                        \[-1\]                    

C) 2                             

D)        \[-2\]

Correct Answer: D

Solution :

                  On comparing both sides, we get and and and Now,