Two rods of lengths `a` and `b` slide along the `x`-axis and `y`-axis respectively in such a manner that their ends are concyclic. The locus of the centre of the circle passing through the end points is:

Two rods of lengths a and b slide along the x- and y-axis , respectively, in such a manner that their ends are concyclic. Find the locus of the center of the circle passing through the endpoints.

Two rods of lengths a and b slide along the x- and y- axis,respectively,in such a manner that their ends are concyclic.Find the locus of the center of the circle passing through the endpoints.

Two rods of lengths aa n db slide along the x- and y-axis , respectively, in such a manner that their ends are concyclic. Find the locus of the center of the circle passing through the endpoints.

Two rods of lengths aa n db slide along the x and y-ax is , respectively, in such a manner that their ends are concyclic. Find the locus of the center of the circle passing through the endpoints.

Two straight rods of lengths 2a and 2b move along the coordinate axes in such a way that their extremities are always concyclic. Then the locus of the centres of such circles is

Two rods of legths a and b slide along coordinate axes. Such that their ends are concylic. Locus of the centre of the circle is

A rod of length a unit slides on the x-axis and another rod of length b unit slides on the y-axis in such a way that the four extremities of the rod are concylic. Show that the locus of the centre of the circle is 4(x^(2)-y^(2))=a^(2)-b^(2) .

The ends A and B of a rod AB of length 8 unit slide along the lines y=2 and x=4 respectively. Find the equation to the locus of the mid point of the rod.