Page 143 - Math Grade 11 (Advance)

PROEUS DARA

2.4 'iiHm;nssnan

Jl '"'
2911fiUuJ 1 l=iilllSl ~ i J1:Hi5Hhl~dl9'U3~fidl=lruln '1
2

n=iQl 3 3(2- i) = 6- 3i 6 3i
2
2 + i = (2 + i)(2- i) + 1 - -5-

2911fiUuJ 2 l=iilll2l ~ ~~: JuhlHhl~dl9D3~fidl=lrul61 '1

3 + 2i - (3 + 2i)(l + 3i)
2
tl=1Ql 1- 3i - (1 - 3i)(1 + 3i)
2 2
ttllt1Hithti~2 (a+b)(a-b) = a -b
t_; u n
1 2 2
=> ( 1- 3i)( I + 3i) = 1 - (3i) = 1- 9i = 10
2
3 + 2i 3 + 9i + 2i + 6i - -3 + 11 i - - 2. .!..!. . '1
l-3i= 10 - 10 - 10+10 1

3
ruun5iiu~ 1 hlHhl~022fiau dl9i~~fidl=lrulnrtjru = - 41 +6 i _ 6i+ 1 '1
\.1 1 6V z t_; z 50 1 - 7 i
tHilm -41+63i 6i+1 -41+63i (6i+l)(l+7i)
z= -I-7i =
GV 50 50 -(1-7i)(1+7i)
2
-41+63i 6i+42i +1+7i
= --5-o-0- 50
-41+63i-13i+41
= -----:::-:::-----
50
z = i '1

0 (2-i)(l+i)
l=iilll2lu~ 2 z = 2i(5+3i) '1

2
(2-i)(l+i) 2+2i-i-i 3+i
z- - - --:-~::-:
- 2i(5 + 3i) - lOi + 6i 2 - - 6 + IOi
= (3+i)(-6-10i)
(- 6 + JOi)(- 6- lOi)
- 18- 30i- 6i- 10/
=
36 + 100
-8- 36i
=
136

138