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)
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)
Question ID - 55953 | SaraNextGen Top Answer
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)
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The normal at a variable point |
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a) |
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b) |
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c) |
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d) |
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1 Answer
127 votes
Answer Key / Explanation : (c) -
(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
Answer Link
127