M, N are endpoints of a diameter
4x−y=15 of circle
x^2 +y^2 −6x+6y−16=0 ; and are
also on the tangents at the end
points of the major axis of an
ellipse respectively, such that
MN is also tangent to the same
ellipse at point P.
If the major axis of the ellipse
is along y=x, find
eccentricity, length of latus
rectum, centre and equation of
derectrices.
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