A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point `P` on the rod, which is 3cm from the end in contact with the x-axis.

A rod AB of length 30 cm moves such that its ends always touching the co-ordinate axes. Determine the locus of a point C of the rod if AC : BC = 2 : 1

A rod of length l cm moves with its ends A (on x=-axis) and B (on y-axis) always touching the coordinae axes. Prove that the point P on the rod which divides AB in the ratio lambda(ne1) is ellipse. Alos, find the eccentricity of the ellipse.

A rod AB of length 3 units moves vertically with its bottom B always an the circle x^(2)+y^(2)=25 then the equation of the locus of A is

A straight rod of length 9 unit, slides with its ends A, B always on the x and y axes repectively. Then the locus of the centroid of Delta OAB is

A rod of length k slides in a vertical plane, its ends touching the coordinate axes. Prove that the locus of the foot of the perpendicular from the origin to the rod is (x^2+y^2)^3=k^2x^2y^2dot

A rod of length k slides in a vertical plane, its ends touching the coordinate axes. Prove that the locus of the foot of the perpendicular from the origin to the rod is (x^2+y^2)^3=k^2x^2y^2dot

Find the equation of the locus of a point which moves so that its distance from the x-axis is double of its distance from the y-axis.

A rod PQ of length 2a' slides with its ends on the axes then locus of circumference of triangle OPQ

A rod AB of length 4 units moves horizontally with its left end A always on the circle x^(2)+y^(2)-4x-18y-29=0 then the locus of the other end B is

A rod of length / slides with its ends on two perpendicular lines. Find the locus of its mid-point.