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ICSE Class 9 Answered

if a^2+b^2+c^2=20 and a+b+c=0 find ab+bc+ca  
Asked by ck902183 | 10 Mar, 2024, 11:51: AM
answered-by-expert Expert Answer

(a+b+c)2 = a2 + b2 + c2  + 2 ( ab + bc + ca )

if ( a+b+c) = 0 , then from above expression ,

( ab + bc + ca ) = - (1/2) ( a2 + b2 + c2 )  = -(1/2) × 20 = - 10

 

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