`o` is the origin. `A `and `B` are variable points on `y =x` and `x +y=0` such that the area of triangle OAB` is `k^2`. The locus of the circumcentre of triangle `OAB` is

A variable line through point P(2,1) meets the axes at A and B. Find the locus of the circumcenter of triangle OAB (where O is the origin.

If O is the origin and A and B are points on the line 3x - 4 y + 25 = 0 such that OA = OB = 13 , Then the area of Delta OAB (In sq units) is

A variable line through the point P(2,1) meets the axes at A and B .Find the locus of the centroid of triangle OAB (where O is the origin).

Two mutually perpendicular chords OA and OB are drawn through the vertex 'O' of a parabola y^(2)=4ax . Then find the locus of the circumcentre of triangle OAB.

Two mutually perpendicular chords OA and OB are drawn through the vertex 'O' of a parabola y^(2)=4ax . Then find the locus of the circumcentre of triangle OAB.

(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 circle of radius 'r' passes through the origin O and cuts the axes at A and B, Locus of the centroid of triangle OAB is