A triangle is formed by the lines `x+y=0,x-y=0 and lx+my+1=0` . If l and m vary subject to the condition `l^(2)+m^(2)=1`, then the locus of the circumcentre of the triangle is

(1)A triangle formed by the lines x+y=0 , x-y=0 and lx+my=1. If land m vary subject to the condition l^2+m^2=1 then the locus of the circumcentre of triangle is: (2)The line x +y= p meets the x-axis and y-axis at A and B, respectively. A triangle APQ is inscribed in triangle OAB, O being the origin, with right angle at Q. P and Q lie, respectively, on OB and AB. If the area of triangle APQ is 3/8th of the area of triangle OAB, then (AQ)/(BQ) is: equal to

A triangle is formed by the lines x+y=0,x-y=0, and l x+m y=1. If l and m vary subject to the condition l^2+m^2=1, then the locus of its circumcenter is (a) (x^2-y^2)^2=x^2+y^2 (b) (x^2+y^2)^2=(x^2-y^2) (c) (x^2+y^2)^2=4x^2y^2 (d) (x^2-y^2)^2=(x^2+y^2)^2

A triangle is formed by the lines x+y=0,x-y=0, and l x+m y=1. If l and m vary subject to the condition l^2+m^2=1, then the locus of its circumcenter is (a) (x^2-y^2)^2=x^2+y^2 (b) (x^2+y^2)^2=(x^2-y^2) (c) (x^2+y^2)^2=4x^2y^2 (d) (x^2-y^2)^2=(x^2+y^2)^2

A triangle is formed by the lines x+y=0,x-y=0, and l x+m y=1. If la n dm vary subject to the condition l^2+m^2=1, then the locus of its circumcenter is (a) (x^2-y^2)^2=x^2+y^2 (b) (x^2+y^2)^2=(x^2-y^2) (c) (x^2+y^2)^2=4x^2y^2 (d) (x^2-y^2)^2=(x^2+y^2)^2

A triangle is formed by the lines x+y=0,x-y=0, and l x+m y=1. If la n dm vary subject to the condition l^2+m^2=1, then the locus of its circumcenter is (a) (x^2-y^2)^2=x^2+y^2 (b) (x^2+y^2)^2=(x^2-y^2) (c) (x^2+y^2)^2=4x^2y^2 (d) (x^2-y^2)^2=(x^2+y^2)^2

A triangle is formed by the lines x+y=0,x-y=0, and l x+m y=1. If la n dm vary subject to the condition l^2+m^2=1, then the locus of its circumcenter is (a) (x^2-y^2)^2=x^2+y^2 (b) (x^2+y^2)^2=(x^2-y^2) (c) (x^2+y^2)^2=4x^2y^2 (d) (x^2-y^2)^2=(x^2+y^2)^2

Find the equation of a circle circumscribing the triangle whose sides are x=0 , y=0 and lx +my =1. If l, m vary so that l^(2) + m^(2) = 4l^(2)m^(2) , find the locus of the centre of the circle.

Find the equation of a circle circumscribing the triangle whose sides are x=0, y=0 and lx + my = 1 . If l, m can vary so that l^2 + m^2 = 4l^2 m^2 , find the locus of the centre of the circle.

Find the equation of a circle circumscribing the triangle whose sides are x=0, y=0 and lx + my = 1 . If l, m can vary so that l^2 + m^2 = 4l^2 m^2 , find the locus of the centre of the circle.

Circumcentre of the triangle formed by the lines xy+2x+2y+4=0 and x+y+2=0 is