Question

if Z=1-2i then the real part of Z is​

Answer 1

SOLUTION

GIVEN

z = 1 - 2i

TO DETERMINE

The real part of z

CONCEPT TO BE IMPLEMENTED

Complex Number

A complex number z = a + ib is defined as an ordered pair of Real numbers ( a, b) that satisfies the following conditions :

(i) Condition for equality :

(a, b) = (c, d) if and only if a = c, b = d

(ii) Definition of addition :

(a, b) + (c, d) = (a+c, b+ d)

(iii) Definition of multiplication :

(a, b). (c, d) = (ac-bd , ad+bc )

Of the ordered pair (a, b) the first component a is called Real part of z and the second component b is called Imaginary part of z

EVALUATION

Here the given complex number is

z = 1 - 2i

Comparing with z = a + ib we get

a = 1 , b = - 2

Real part of z = a = 1

Imaginary part of z = b = - 2

FINAL ANSWER

Real part of z = 1

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