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`         ABCD is a rhombus. its diagonals AC and BD intersect at the point M and satisfy BD=2AC. if the points D and M represent complex nos. 1+i and 2-i resp. then find out the complex no. represented by A.`
8 years ago

Ramesh V
70 Points
```

From figure D(1,1) and M(2,-1)
M is mid point of DM and AC
also AC is perpendicular to Db , and given DB =2AC
so from figure B(3 - 3i)
and DM = (5)1/2  so AM shld be 2.(5)1/2 units
slope od DB is -2 ; so slope of AC is 1/2
so C (-2 -3i) and A (6 + i)
Hence solved
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IIT Kgp - 2005 batch
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8 years ago
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