Page 152 - Math Grade 11 (Advance)

PROEUS DARA

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ol!l
rutm£HU 1 tHnmm lzl = lzl = 1-zl stl lzl = z · z t'iH~:dltiSSnwu
u Ul "" u IJ 16\1
z = -1 + iJ3 '1
z=-1+iJ3 t~ms z=-l-iJ3 stl-z=l-iJ3
2 2
= -1 + iJ3 => lzl = J(-1) + (J3) = ,J1+3 = 2
2 2
z = -1-iJ3=>1zl = J(-1) +(-J3) = ,J1+3 = 2
2 2
-z = l-iJ3=>!-zl = J1 +(-J3) = ,J1+3 = 2

tjut.sg lzl = lzl = 1-zl '1
u
2 2 2 2
lzl = 2 = 4 tUiru z·z = (-l+iJ3)(-l-iJ3) = (-I) -(ij3) = 4
2
tjutf:Jg lzl = z·z '1
u
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rutm£l~u 2
u

2
2
n. z 1 =- 1 + 2i => lzd = J< -l ) + 2 = J5
z 2 = 1 + i=> lz 2 1 = J12;li = Ji

2
Z1Z = (- 1 + 2i)( 1 + i) = - 1- i + 2i + 2i
2
= -3 + i

2 2
lz1z2l = J(-3) + 1 = Jf6 (2)

~msg ffl -e9Sl~9stl (l) stl (2) => lzlz21 = lzd ·lz21 '1

2
2. ~ = (-1+2i}(l-i) = -l+i+2i-2i = 1+3i = !+~i '1
z 2 (1 + i)(l- i) 1 + 1 2 2 2

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