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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.
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 -- Please feel free to post as many doubts on our disucssion forum as you can. If you find any question difficult to understand - post it here and we will get you the answer and detailed solution very quickly.We are all IITians and here to help you in your IIT JEE preparation. All the best. Regards, Naga Ramesh IIT Kgp - 2005 batch
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
--
Please feel free to post as many doubts on our disucssion forum as you can. If you find any question difficult to understand - post it here and we will get you the answer and detailed solution very quickly.We are all IITians and here to help you in your IIT JEE preparation. All the best. Regards, Naga Ramesh IIT Kgp - 2005 batch
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