Question

Two complex numbers are represented by ordered pairs $z_1:(a,b)\&z_2:(c,d)$, when these two complex numbers are equal?

• A. If and only if $a=-c,b=-d$
• B. If and only if $a=d,b=c$
• C. If and only if $a=c,b=d$
• D. None of these

Answer 1

Answer: (C)

If and only if $a=c,b=d$

$(a+ib)=(c+id)$

when $a=candb=d$ by properties of complex number,

The real of one complex number=The real of another complex number.

and, The imaginary part of complex number=The imaginary part of another real number.