Correct Answer - C
`log_(|x^(2)-1|)|x-3|` is defined when `x-3ne0` and `|x^(2)-1|gt0` and `|x^(2)-1|ne1.`
`rArr" "xne3,`
`x^(2)-1ne0" i.e., "xne1or-1,`
`|x^(2)-11ne1" "rArr xne-sqrt2 or sqrt2, and xne0`
Hence, the points at which the function is not defined are
`x=0, 1,-1,sqrt2,-sqrt2,3.`