Question

Question 7 Express the given complex number in the form a + ib: [ (1/3 + i 7/3) + (4 + i/3) ] - (-4/3 + i)

Class X1 - Maths -Complex Numbers and Quadratic Equations Page 104

Answer 1

your answer is a+ib =17/3+5i/3

Answer 2

(1/3 +7/3i) + (4 + 1/3i) - (-4/3 +i)
= (1/3 +7/3i + 4 + 1/3i) + 4/3 -i

use, (a + ib) + (x + iy) = (a + x) + i(b + y)

=(1/3 + 4 + 4/3) + (7/3 + 1/3 -1)i
=(1 + 12 + 4)/3 + i(7+1 -3)/3
=17/3 + 5i/3

Hence, (17/3) + (5/3)i is the answer.