Grade 11Algebra
if a2+b2+c2=1 then ab+bc+ac lies in which interval,where a,b,c are real numbers
if a2+b2+c2=1 then ab+bc+ac lies in which interval,where a,b,c are real numbers
1 Answer
Neha Bharti
As given a²+b²+c²=1.......(1)We know ,(a+b+c)²≥0a²+b²+c²+2(ab+bc+ab)≥0And from equation (1)1+2(ab+bc+ac)≥02(ab+bc+ac)≥-1ab+bc+ca≥-1/2
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