1.

Find the values of `a`for which eht equation `||x-2|+a|=4`can have four distinct real solutions.

Answer» `|x-2|+ a= pm 4`
`rArr |x-2|= pm 4-a `
For four real roots `4-a lt 0 and -4-a lt 0`
`rArr a in (-oo,-4)`


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