Any ordinate of the ellipse meets the auxiliary circle at then locus of the point of intersection of normals at and to the respective curves is |
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a) |
b) |
c) |
d) |
Any ordinate of the ellipse meets the auxiliary circle at then locus of the point of intersection of normals at and to the respective curves is |
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a) |
b) |
c) |
d) |
(c)
Equation of normal to the ellipse at is
(i)
Equation of normal to the circle at point is
(ii)
Eliminating from (i) and (ii), we get