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).

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 circle of radius r passes through the origin and meets the axes at A and B. The locus of the centroid of triangleOAB" is"

A straight line through the point (1,1) meets the X-axis at A and Y-axis at B. The locus of the mid-point of AB 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 plane passes through a fixed point (a,b,c) and meets the axes at A ,B ,a n dCdot The locus of the point commom to the planes through A ,Ba n dC parallel to the coordinate planes is

A variable line y=m x-1 cuts the lines x=2y and y=-2x at points Aa n dB . Prove that the locus of the centroid of triangle O A B(O being the origin) is a hyperbola passing through the origin.

A circle passes through origin and meets the axes at A and B so that (2,3) lies on bar(AB) then the locus of centroid of DeltaOAB is

A variable plane passes through a fixed point (a ,b ,c) and cuts the coordinate axes at points A ,B ,a n dCdot Show that eh locus of the centre of the sphere O A B Ci s a/x+b/y+c/z=2.

A line is drawn passing through point P(1,2) to cut positive coordinate axes at A and B . Find minimum area of DeltaPAB .

A circle of radius 1 unit touches the positive x-axis and the positive y-axis at A and B , respectively. A variable line passing through the origin intersects the circle at two points D and E . If the area of triangle D E B is maximum when the slope of the line is m , then find the value of m^(-2)