Question
The value of (2 ^ -1 x+ ^ -1 x ) at x= 1 5 is
BITSAT
Mathematics
Inverse Trigonometric Functions
2021
BITSAT 2021
BITSAT Mathematics Question (2021) — Solution
Options
- A. - 2 6 5
- B. -2 6
- C. - 6 5
- D. None of these
Answer
A. - 2 6 5
Step-by-step solution
[2 ^ -1 x+ ^ -1 x ] = [ ^ -1 x+ ^ -1 x+ ^ -1 x ] = [ ^ -1 x+ 2 ]=- [ ^ -1 x ] =- [ ^ -1 1-x^ 2 ]=- 1-x^ 2 =- 1- ( 1 5 )^ 2 =- 24 25 =- 2 6 5
Related: Mathematics — Inverse Trigonometric Functions · All PYQ Banks