(D) 144717 131. Let a, b, c be in G...
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(D) 144717 131. Let a, b, c be in G.P. Ifp is the A.M. between a and b and q is the A.M. between band c, then bis equal to (4) P+9 p+9 B ptg 0 ptg 0 2pq. p +9 p +9 2 pq

JEE/Engineering Exams
Maths
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[ begin{array}{l} text { quen } quad, quad b^{2}=a c quad-quad text { (1) } p=frac{a+b}{2} q=frac{b+c}{2} end{array} ] From [ a=2 p-b ] From 0 ( 16=2 g-b ) 1 Wing these two in [ begin{array}{rl} b^{2} & =(2 p-b(2 q-b) b^{2} & =4 p q-2 b p-2 b q+b^{2} 2 & x p q=2 b(p+q) b & =frac{2 p q}{p+q} end{array} ]
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