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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: pls solve this:: if p+q+r=a+b+c=0,
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nikhar (12)

Cool goIITian

Olaaa!! Perrrfect answer. 2  [3 rates]

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then,solve the matrix.....


row 1: I pa qb rc I


row 2: I qc ra pb I


row 3: I rb pc qa I


GIVEN: p+q+r=a+b+c=0


PLS GIVE ME A SOLUTION

    
Aatish (2268)

Blazing goIITian

Olaaa!! Perrrfect answer. 406  [525 rates]

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  Let D =


=Opening the D with Sarru's formula....


 


D = pa.ra.qa + qc.pc.rc + rb.pb.qb - [ ra.rb.rc + pa.pb.pc + qa.qb.qc]


D = pqra3 + pqrc3 + pqrb3  -  [ r3abc + p3abc + q3abc]


so... D = pqr [ a3 +  b3 + c3 ]  - abc [  p3 + q3 + r3 ]


but as we know.....if a + b + c =0 then.......a3 +  b3 + c3 = 3abc


 


so...D = pqr [3abc]  -  abc[3pqr]


so...D = 0....


 


hope its clear.....


 




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