A variable line intersects the co-ordinate axes at A and B and passes through a fixed point `(a, b)`.then the locus of the vertex C of the rectangle `OACB` where O is the origin is

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

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

Find the equation of lines drawn parallel to co-ordinate axes and passing through the point (-1,4) .

A straight line l passes through a fixed point (6, 8). If locus of the foot of perpendicular on line l from origin is a circle, then radius of this circle is … .

A line passes through the point (3,-2). Find the locus of the middle point of the portion the line intercepted between the axes.

If a variable plane, at a distance of 3 units from the origin, intersects the coordinate axes at A,B anc C, then the locus of the centroid of Delta ABC is :

A circle passes through a fixed point A and cuts two perpendicular straight lines through A in B and C. If the straight line BC passes through a fixed-point (x_(1), y_(1)) , the locus of the centre of the circle, is

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

A variable circle passes through the fixed point (2, 0) and touches y-axis Then, the locus of its centre, is

A variable circle passes through the fixed point (2, 0) and touches y-axis Then, the locus of its centre, is