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The equation of the line that touches th...

The equation of the line that touches the curves `y=x|x|` and `x^2+(y-2)^2=4` , where `x!=0,` is:
(a)y=4`sqrt(5)``x`+20
(b)y=4`sqrt(3)``x`-12
(c)y=0
(d) y=-4`sqrt(5)``x`-20

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