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If the two lines a1x + b1y + c1 = 0 and ...

If the two lines `a_1x + b_1y + c_1 = 0` and `a_2x + b_2y + c_2 = 0` cut the co-ordinates axes in concyclic points. Prove that `a_1a_2 = b_1b_2`

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`a_1a_2(x^2+y^2)+(a_1c_1+a_2c_1)x+(b_1c_2+b_2c_1)y=0`
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