Page 151 - Math Grade 11 (Advance)

PROEUS DARA

3fJJU1UuJ4 f:Hl.fl Sl ~~:: S~ ~~~ d'hr:i§J z1 = 3 + i S~ z2 = 1- i '1

z 1 = 3 + i = lzd = J32:li = Jl6

2
z = l-i=jz j = )1 +(-1) = Ji
2
2
2
t?'iQlS lzd = J16 = j5
jz2l Ji
2
~ = 3 + i = (3 + i)(l + i) = 3 + 3i + i + i = 2 + 4i = 1 + 2i
z 2 1-i (1-i)(l+i) 1+1

t?'iQlS ~~~ = JI2 + 22 = j5

"'
2f/JtnUlfl 5
2 2
z 1 = 3-4i=lzd = J3 +(-4) = ,J9+T6 = 5
2 2
Zz = -1 +-iJ3 = jz 2 j = J(-1) + (-J3) = Jf+3 = 2

t?'iQlS jzd + jz 2 j = 5 + 2 = 7

z +z = 3-4i+(-1-iJ3) = 2+(-4-J3)i
1 2
jz 1 +z 2 1 = J4+(-4-J3/ = J4+16+8J3+3 = J23+8J3<7

13j1~ t9Jn t?'iffiutinUtnt1Hn'!32 rutiHlfi'i:flLn : y
N
t?'i'i:flSBSSROu Zt s~ z2 &'i:Hli'i:flSmtnmsQ~m
U IN U ~

"
""
N dl3titnrHS z +z 2 ttflru ON= jz1+z2j
1
611'13~ t15'!3filrllj~~tnHl.Jl ON N t?'iQlS ON s ON + N N
1
1
1
I
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