InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
The number of solution of equation `sin^(-1)x+nsin^(-1)(1-x)=(mpi)/2,w h e r en >0,mgeq0,`is3 (b)1 (c) 2(d) None of theseA. 3B. 1C. 2D. none of these |
|
Answer» Correct Answer - D `sin^(-1) x` is defined if `-1 le x le 1 and sin^(-1) (1- x)` is defined if `- 1 le 1 -x le 1 rArr 0 le x le 2` Therefore, `sin^(-1) x + n sin^(-1) (1 -x)` is defined if `0 le x le 1` when `0 le x le 1, " also " 0 le 1 - x le 1`. So, `0 le sin^(-1) x le (pi)/(2) and 0 le sin^(-1) (1-x) le (pi)/(2)` `L.H.S. ge 0 and R.H.S. le 0` Which equally holds if L.H.S. = R.H.S. = 0 But L.H.S. `= 0 " if " sin^(-1) x and n sin^(-1) (1 -x)` are simultaneously zero, which is not possible |
|