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[" Triangle formed by the lines "x+y=0" ,"],[x-y=0" and "ell x+my=1" .If "ell" and "m" vary "],[" subject to the condition "ell^(2)+m^(2)=1" then "],[" locus of its circumcentre is "],[[" (1) "(x^(2)-y^(2))^(2)=x^(2)+y^(2)],[" (2) "(x^(2)+y^(2))^(2)=4x^(2)y^(2)],[" (3) "(x^(2)+y^(2))^(2)=4x^(2)y^(2)],[" (4) "(x^(2)-y^(2))^(2)=(x^(2)+y^(2))^(2)]]

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