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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?

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?

Grade:11

2 Answers

SAGAR SINGH - IIT DELHI
879 Points
11 years ago

Dear student,

BD=2 AC

D=1+i

M=2-i

Using basic mathematics and the properties of rhombus we get the coordinates of A as 3-i/2 or 1-3i/2

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Sagar Singh

B.Tech, IIT Delhi

sagarsingh24.iitd@gmail.com

alley raphy
16 Points
9 years ago

The points A,B,C and D represent the numbers Z1,Z2,Z3 and Z4.ABCD is rhombus;AC=2BD.if  Z2=2+i

,Z4=1-2i,find Z1 and Z3

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