Two rods of lengths `aa n db` slide along the `x-` and `y-a xi s ,` 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- 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 line segments AB and CD are constrained to move along the x and y axes, respectively, in such a way that the points A, B, C, D are concyclic. If AB = a and CD = b, then the locus of the centre of the circle passing through A, B, C, D in polar coordinates is

If one end of the diameter is (1,1) and the other end lies on the line x+y=3, then find the locus of the center of the circle.

Two thin rods AB & CD of lengths 2a & 2b move along OX & OY respectively, when 'O' is the origin. The equation of locus of the centre of the circle passing through the extremeties of the two rods is: a. x^2+y^2=a^2+b^2 b. x^2-y^2=a^2-b^2 c. x^2+y^2=a^2-b^2 d. x^2-y^2=a^2+b^2

If the intercepts of the variable circle on the x- and yl-axis are 2 units and 4 units, respectively,then find the locus of the center of the variable circle.

Find the equation of the circle with radius 5 whose center lies on the x-axis and passes through the point (2,3).

Find the locus of the middle points of the chords of the circle x^2+y^2=a^2 which pass through a given point (x_1,y_1)

A variable chord is drawn through the origin to the circle x^(2)+y^(2)-2ax=0. Find the locus of the center of the circle drawn on this chord as diameter.