Complex numbers
Exercise 13.1
QUESTION 1
Evaluate the following:
(i)
Sol :
(ii)
Sol :
=1
(iii)
Sol :
= -1
(iv)
Sol :
(v)
Sol :
= 0
(vi)
Sol :
= 0
(vii)
Sol :
= 1
(viii)
Sol :
QUESTION 2
Show that
Sol :
= 0 which is a real number
Hence, proved
QUESTION 3
Find the values for the following expressions:
(i)
Sol :
(ii)
Sol :
[\because i^2=-1]
= 1
(iii)
Sol :
= 0
(iv)
Sol :
[\because~(i^2=-1)~(i^3=-i)]
= -1
(v)
Sol :
= -1
(vi)
Sol :
.
.
.
[As, there are 11 terms]
= 1
(vii)
Sol :