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If a, b, c are in GP where a 0, b 0, c 0 , then which of the following are correct? 1. a^2, b^2, c^2 are in GP 2. 1 a , 1 b , 1 c are in GP 3. a , b , c are in GP Select the correct answer using the code given below :

Options

  1. A1 and 2 only
  2. B2 and 3 only
  3. C1 and 3 only
  4. D1, 2 and 3

Correct answer

D. 1, 2 and 3

Step-by-step solution

array ll & a , b , c are in G.P b^2=a c array Squaring both sides aligned & (b^2 )^2=a^2 c^2 & a^2, b^2, c^2 are in G.P aligned From(i) ( 1 b )^2= 1 a 1 c 1 a , 1 b , 1 c are in G.P From(i) b= a c ( b )^2= a b [ a 0, b 0 and c 0] a , b , c are in G.P.

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