for 3- let 2a and 2b be the length of the major and minor axes. If the ellipse slides betwn two perpendicular lines, the point of intersection P of these lines being the point of intersection of perpendicular tangents lies on the Director circle of the ellipse. This means that the centre of the ellips is always at a const distance rt(a^2+b^2) frm P. Hence locus of center is a director circle. thus, ans is B
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