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MHT CET202013 Oct 2020Morning ShiftMathematicsProperties of TrianglesActual

With usual notations, in ABC , if b ² C 2 + c ² B 2 = 3 a 2 , then

Options

  1. Ab , a , c are in A.P.
  2. Bb , a , c are in G.P.
  3. Ca , b , c are in G.P.
  4. Da , b , c are in A.P.

Correct answer

A. b , a , c are in A.P.

Step-by-step solution

Given b ² C 2 + c ² B 2 = 3 a 2 b ( 1+ C 2 )+ c ( 1+ B 2 )= 3 a 2 b + b C + c + C B =3 a ( b C + c B )+ b + c =3 a a + b + c =3 a b + c =2 a a = b + c 2 b , a , c are in A.P.

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