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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=4sqrt(5)x+20` (b)`y=4sqrt(3)-12` (c)`y=0` (d) `y=-4sqrt(5)x-20`

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