A parabola is drawn with focus is at one of the foci of the ellipse 
(where 
) and directrix passing through the other focus and perpendicular to the major axes of the ellipse. If latus rectum of the ellipse and the parabola are same, then the eccentricity of the ellipse is
a)
b)
c)
d)
None of these
A parabola is drawn with focus is at one of the foci of the ellipse (where ) and directrix passing through the other focus and perpendicular to the major axes of the ellipse. If latus rectum of the ellipse and the parabola are same, then the eccentricity of the ellipse is
a)
b)
c)
d)
None of these
Question ID - 56700 | SaraNextGen Top Answer
A parabola is drawn with focus is at one of the foci of the ellipse (where ) and directrix passing through the other focus and perpendicular to the major axes of the ellipse. If latus rectum of the ellipse and the parabola are same, then the eccentricity of the ellipse is
a)
b)
c)
d)
None of these
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A parabola is drawn with focus is at one of the foci of the ellipse |
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a) |
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b) |
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c) |
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d) |
None of these |
(c)
Equation of the ellipse is 
Equation of the parabola with focus 
and directrix 
is 
Now length of latus rectum of the ellipse is 
and that of the parabola is 
.
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For the two latus recta to be equal, we get
Therefore, 
Hence, 