The circles whose equations are x^(2)+y^...

The circles whose equations are `x^(2)+y^(2)+10x-2y+22=0` and `x^(2)+y^(2)+2x-8y+8=0` touch each other. The circle which touch both circles at, the point of contact and passing through `(0,0)` is,
1) `9(x^(2)+y^(2))-15x-20y=0,` 2) `5(x^(2)+y^(2))-18x-80y=0`
3) `7(x^(2)+y^(2))-18x-80y=0,` 4) `x^(2)+y^(2)-9x-40y=0`]]

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