An ellipse slides between two perpendicular straight lines. Then the locus of its centre is a/an
parabola
ellipse
hyperbola
circle
Clearly, P is the point of intersection of perpendicular tangents. So, P lies on the director circle of the given
ellipse . This means that the centre of the ellipse will always remain at a constant distance
from P. Hence, the locus of C is a circle.
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