BITSAT2022MathematicsProperties of TrianglesActual
If in a A B C, 2 b^2=a^2+c^2 , then 3B B is equal to
Options
- Ac^2-a^2 2 c a
- Bc^2-a^2 c a
- C(c^2-a^2 )^2 (c a)^2
- D[ c^2-a^2 2 c a ]^2
Correct answer
D. [ c^2-a^2 2 c a ]^2
Step-by-step solution
3 B B = 3 B-4 ^3 B B =3-4 ^2 B=3-4 (1- ^2 B )=-1+ 4 (a^2+c^2-b^2 )^2 4(a c)^2 =-1+ ( a^2+c^2 2 )^2 (a c)^2 =-1+ (a^2+c^2 )^2 4(a c)^2 =( c^2-a^2 2 a c )^2