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MHT CET202311 May 2023Morning ShiftMathematicsProperties of TrianglesActual

If in ABC , with usual notations, a ^2 C 2 +c ^2 A 2 = 3 b 2 , then

Options

  1. Aa, b, c are in G.P.
  2. Ba, b, c are in H.P.
  3. Ca, b, c are in A.P.
  4. Da , b , c are in Arithmetico Geometric Progression

Correct answer

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

Step-by-step solution

aligned & a ^2 C 2 +c ^2 A 2 = 3 b 2 & a ( 1+ C 2 )+c ( 1+ A 2 )= 3 b 2 & a+a C+c+c A=3 b & a+b+c=3 b [ b=c A+a C] & a+c=2 b & a, b, c are in A.P. aligned

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