1.

If the equation `x^(2)-4x-(3k-1)|x-2|-2k+8=0,kinR`, has exaclty three distinct solutions, then k is eaual to _____.

Answer» Correct Answer - 2
Given equation is
`(x-2)^(2)-4-(3k-1)|x-2|-2k+8=0` or
`r^(2)-(3k-1)t-2k+4=0`, where `t=|x-2|`
For exactly 3 distinct solutions, one of the roots is zero and other root is positive.
`:.k=2`


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