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B
b2=a2+c2−ac
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C
a2=b2+c2−ac
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D
b2=a2+c2
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Solution
The correct option is Bb2=a2+c2−ac A, B, C are in A. P. then angle B = 60o, cosB=a2+c2−b22ac,{sinceA+B+C=180oandA+C=2B⇒B=60o}⇒12=a2+c2−b22ac=ac⇒b2=a2+c2−ac.