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Question

If a, b, c are in G.P, then
  1. none of these 
  2. a(b2 + c2) = c(a2 + b2)
  3. a(b2 + c2) = c(b2 + c2)
  4. a2(b + c) = c2(a + b)


Solution

The correct option is B a(b2 + c2) = c(a2 + b2)
ba=cbb2a2=c2b2

b2+a2a2=c2+b2b2

b2+a2a2=c2+b2ac

 c(b2+a2)=a(c2+b2)

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