Question
The value of (2 ^ -1 x+ ^ -1 x ) at x= 1 5 is
BITSAT
Mathematics
Inverse Trigonometric Functions
2023
BITSAT 2023 (Memory Based Paper 2)
BITSAT Mathematics Question (2023) — 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
aligned & [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 \\ & aligned
Related: Mathematics — Inverse Trigonometric Functions · All PYQ Banks