The normal at a variable point on the ellipse , of eccentricity meets the axes of the ellipse at and then the locus of midpoint of is a conic with an eccentricity such that |
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a) |
is independent of |
b) |
c) |
d) |

The normal at a variable point on the ellipse , of eccentricity meets the axes of the ellipse at and then the locus of midpoint of is a conic with an eccentricity such that |
|||||||

a) |
is independent of |
b) |
c) |
d) |

1 Answer

127 votes

**(c)**

Normal at point is

(i)

It meets axes at

and

Let is a midpoint of

Then

and

Locus is (ii)

Which is an ellipse, having eccentricity , given by

**Note:**

127 votes

127