InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Statement-1: Let `f(x)=[3+4sinx ]`, where [.] denotes the greatest integer function. The number of discontinuities of f(x) in `[pi,2pi]` is 6 Statement-2: The range of f is `[-1,0,1,2,3]`A. 1B. 2C. 3D. 4 |
|
Answer» Correct Answer - D We have `-1 le sin x le 0 "for all "x in [pi,2pi]` `Rightarrow -4 le 4sin x le 0 "for all "x in [pi,2pi]` `Rightarrow -1 le 4sin x le 3 le 3" for all "x in [pi,2pi]` `Rightarrow f(x)=[4 sinx+3]"assumes values"-1,0,1,2 and 3` when `x in [pi,2pi]` `Rightarrow "Range f"=[-1,0,1,2,3]` So, statement-2 is true Clearly, there are eight of discontinuity of f(x) in `[pi,2pi]`. So, statment-1 is true. |
|