gaokao 2016 Q2

gaokao · China · national-I 5 marks Complex Numbers Arithmetic Systems of Equations via Real and Imaginary Part Matching

Let $( 1 + i ) x = 1 + y i$, where $x , y$ are real numbers, then $| x + y i | =$
(A) 1
(B) $\sqrt { 2 }$
(C) $\sqrt { 3 }$
(D) 2

Let $( 1 + i ) x = 1 + y i$, where $x , y$ are real numbers, then $| x + y i | =$

(A) 1

(B) $\sqrt { 2 }$

(C) $\sqrt { 3 }$

(D) 2