The ends of a rod of length `k` moves on two positive coordinate axes.The locus of the point on the rod,which divides it in the ratio `l:m` is

The ends of a rod of length l move on the co- ordinate axes.The lecus of the point on the rod which divides it in the ratio 1:2 is

The ends of a rod of length l move on two mutually perpendicular lines. Find the locus of the point on the rod which divides it in the ratio 1 : 2.

A line segment AB of length a moves with its ends on the axes.The locus of the point P which divides the segment in the ratio 1:2 is

A line segment AB of length backslash'2backslash moves with its ends on the axes.The locus of the point P which divides the segment in the ratio 1:1 is

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.

If the extremities of a line segment of length l moves in two fixed perpendicular straight lines, then the locus of the point which divides this line segment in the ratio 1 : 2 is-

A rod PQ of length 2a slides with its ends on the axes.The locus of the circumcentre of /_OPQ is

A straight rod of given length slides between two fixed bars which include an ingle of 90^(@) . Show that the locus of a point on the rod which divides it in a given ratio is an ellipse.If this ratio be 1/2, show that the eccentricity of the ellipse is sqrt(2)/3

A rod of length 12cm 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.