1.

Match the statements given in List I with the values given in List II.

Answer»


Solution :`"For "alpha=1`
`y=|x-1|+|x-2|+x={{:(3-x,, xlt1),(1+x,,1LE xlt2),(3x-3,,xge2):}`
`"For "alpha=0, y=3`

`A=(1)/(2)(2+3)xx1+(1)/(2)(2+3)xx1-overset(2)underset(0)int2sqrt(x)dx`
`rArr""A=5-(8)/(3)SQRT(2)`
`therefore""F(1)+(8)/(3)sqrt(2)=5`
`"For "alpha=0,y=|-1|+|-2|=3`

`A=6-overset(2)underset(0)int2sqrt(x)dx`
`rArr""A=6-(8)/(3)sqrt(2)`
`therefore""F(0)+(8)/(3)sqrt(2)=6`
Note : Solutions of the remaining PARTS are given in their respective chapters.


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