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


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