Question
If in a A B C, 2 b^2=a^2+c^2, then 3B B is equal to
BITSAT
Mathematics
Properties of Triangles
2022
BITSAT 2022
BITSAT Mathematics Question (2022) — Solution
Options
- A. c^2-a^2 2 c a
- B. c^2-a^2 c a
- C. (c^2-a^2 )^2 (c a)^2
- D. [ c^2-a^2 2 c a ]^2
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
Related: Mathematics — Properties of Triangles · All PYQ Banks