Saved Bookmarks
| 1. |
The number of solution of the equastion `|x-1|+|x-2|=[{x}]+{[x]}+1` , where `[.]` and `{.}` denotes greatest integer function and fraction part funstion respectively is :A. `0`B. `1`C. `2`D. Infinite |
|
Answer» Correct Answer - D The number of ………….. `AA x epsilon R, {x} epsilon[0,1)` Hence `[{x}] = 0` ….(i) Also `AA x epsilon R, [x] epsilon I` Hence `{[x]} = 0` ….(ii) Hence the given equation becomes `|x-1|+|x-2|=1` `implies x epsilon [1, 2]` `:.` Number of solutions = infinite |
|