1.

The radius of a circle, having minimum area, whichtouches the curve `y=4-x^2`and the lines `y=|x|`is :`4(sqrt(2)-1)`(2) `4(sqrt(2)+1)`(3) `2(sqrt(2)+1)`(4) `2(sqrt(2)-1)`

Answer» C(0,4-r)
y-x=0
`|(4-r-0)/sqrt2|=r`
`4-r=pmsqrt2r`
`4=(sqrt2+1)r`
`r=4/(sqrt2+1)*(sqrt2-1)/(sqrt2-1)`
`=(4(sqrt2-1))/(2-1)`
Option 1 is correct.


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