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
- Asatisfy a+b=c
- Bare in A.P.
- Care in G.P.
- 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.