An ellipse of major axis `20sqrt3` and minor axis 20 slides along the coordinate axes and always,remains confined in the `1^(st)` quadrant. The locus of the centre of the ellipoe therefore descibes thearc of a circle. The length of this arc is

An ellipse with major axis 4 and minor axis 2 touches both the coordinate axes,then locus of its focus is

An ellipse with major and minor axis 6sqrt3 and 6 respectively, slides along the coordinates axes and always remains confined in the first quardrant. If the length if arc decribed by center of ellipse is (pilambda)/6 then the value of lambda is

An ellipse hase semi-major of length 2 and semi-minor axis of length 1. It slides between the coordinates axes in the first quadrant while mantaining contact with both x-axis and y-axis. The locus of the centre of the ellipse is