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.

Tangents are drawn at the end points of a normal chord of the parabola y^(2)=4ax . The locus of their point of intersection is

Circles are described on the chords of the parabola y^(2)=4ax drawn though the vertex.The locus of the centres of circle

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.

The locus of foot of the perpendiculars drawn from the vertex on a variable tangent to the parabola y^(2)=4ax is

AP is perpendicular to PB, where A is the vertex of the parabola y^(2)=4x and P is on the parabola.B is on the axis of the parabola. Then find the locus of the centroid of o+PAB .

From a point P perpendicular tangents PQ and PR are drawn to ellipse x^(2)+4y^(2) =4 , then locus of circumcentre of triangle PQR 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).