If the lines $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ cut the coordinates axes in concyclic points, then prove that $∣ a_{1} a_{2} ∣ = ∣ b_{1} b_{2} ∣$ .

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Elizabeth Discussed

If the lines

a_{1} x + b_{1} y + c_{1} = 0

and

a_{2} x + b_{2} y + c_{2} = 0

cut the coordinates axes in concyclic points, then prove that

∣ a_{1} a_{2} ∣ = ∣ b_{1} b_{2} ∣

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Question Text

If the lines

a_{1} x + b_{1} y + c_{1} = 0

and

a_{2} x + b_{2} y + c_{2} = 0

cut the coordinates axes in concyclic points, then prove that

∣ a_{1} a_{2} ∣ = ∣ b_{1} b_{2} ∣

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