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ABCD is a rhombus such that its its diagonals AC and BD intersect at M and satisfy BD=2AC. If the points D and M represent the complex no. 1+i and 2-i respectively, then which complex no. does A represent?

vishal , 9 Years ago
Grade 11
anser 2 Answers
Nishant Vora
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Last Activity: 9 Years ago
mycroft holmes
From the given info, DA = ½ DM and is obtained by rotating DM by 900 in anti-clockwise direction. DM = (1+i)-(2-i) = 2i-1.
 
Hence DA = (2i-1) * i/2 = -1 – i/2.
 
Hence we get A = (2-i)+(-1-i/2) = 1 – 3i/2
Last Activity: 9 Years ago
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