which-of-the-following-conditions-is-true-if-the-folowing-circle-are-verticale-x-2-y-2-a-1-x-b-1-y-c-1-0-x-2-y-2-a-2-x-b-2-y-c-2-o-1-a-1-a-2-b-1-b-2-2-c-1-c-2-2-a-1-a-2-b-1-b-2-3-

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Question Number 129547 by Adel last updated on 16/Jan/21

$$\mathrm{which}\mathrm{of}\mathrm{the}\mathrm{following}\mathrm{conditions}\mathrm{is}\mathrm{true}$$$$\mathrm{if}\mathrm{the}\mathrm{folowing}\mathrm{circle}\mathrm{are}\mathrm{verticale}$$$$$$$${\mathrm{x}}^2+{\mathrm{y}}^2+{\mathrm{a}}_1\mathrm{x}+{\mathrm{b}}_1\mathrm{y}+{\mathrm{c}}_1=0$$$${\mathrm{x}}^2+{\mathrm{y}}^2+{\mathrm{a}}_2\mathrm{x}+{\mathrm{b}}_2\mathrm{y}+{\mathrm{c}}_2=\mathrm{o}$$$$1:{\mathrm{a}}_1{\mathrm{a}}_2-{\mathrm{b}}_1{\mathrm{b}}_2=2({\mathrm{c}}_1+{\mathrm{c}}_2)$$$$2:{\mathrm{a}}_1{\mathrm{a}}_2-{\mathrm{b}}_1{\mathrm{b}}_2=3({\mathrm{c}}_1+{\mathrm{c}}_2)$$$$3:{\mathrm{a}}_1{\mathrm{a}}_2+{\mathrm{b}}_1{\mathrm{b}}_2=2({\mathrm{c}}_1+{\mathrm{c}}_2)$$$$4:{\mathrm{a}}_1{\mathrm{a}}_2+{\mathrm{b}}_1{\mathrm{b}}_2=3({\mathrm{c}}_1+{\mathrm{c}}_2)$$

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