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Grade 12Algebra

Sir please help me in solving question no. 43
By using coni or rotation method

Question image for Sir please help me in solving question no. 43 By
Profile image of Pushkar Kumar
7 Years agoGrade 12
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1 Answer

Profile image of natasha
7 Years ago
if Z1 Z2 origin are the vertices then from coni method 
Z2-0/Z1-0 = e^i2\pi/3
Z2/Z1 = -1/2 + i sqrt3/2
Z2/Z1 = \omega
Z2 = \omegaZ1
squaring on both the sides
Z2^2=\omega^2 Z1^2
Z1^2+Z2^2 = Z1^2 + \omega^2 Z1^2
                   =Z1^2[1+w^2]
                   =-wZ1^2
                   =-wZ1.Z1
                   =-Z1.Z2
therefore  Z1^2+Z2^2+Z1Z2=0