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JEE Main2003MathematicsProperties of TrianglesActual

If in a triangle ABC a ^2 ( C 2 )+ c ^2 ^2 ( A 2 )= 3 ~b 2 , then the sides a , b and c

Options

  1. Asatisfy a+b=c
  2. Bare in A.P.
  3. Care in G.P.
  4. Dare in H.P.

Correct answer

B. are in A.P.

Step-by-step solution

If a ^2 ( C 2 )+ ^2 ( A 2 )= 3 ~b 2 a [ C +1]+ c [ A +1]=3 ~b ( a + c )+( a C + c B )=3 ~b a + c + b =3 ~b or a + c =2 ~b or a , b , c are in A.P.

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