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Standard XII
Mathematics
Eccentricity of Ellipse
42. The dista...
Question
42. The distance between the foci of an ellipse is 10 and length of latus rectum is 15; find its equation referred to its axes as axes of co-ordinates
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Q.
Find the equation of the ellipse referred to its major and minor axes as the coordinate axes,
X
,
Y
−
respectively with latus rectum of length
4
, and distance between foci
4
√
2
.
Q.
Find the equation of the standard ellipse, taking its axes as the coordinate axes, whose minor axis is equal to the distance between the foci and whose length of latus rectum is
10
. Also, find its eccentricity.
Q.
If the focal distance of an end of the minor axis of any ellipse (referred to its axes as the axes of
x
and
y
respectively) is
k
and the distance between the foci is
2
h
, then its equation is:
Q.
Find the equation of the ellipse referred to its centre whose minor axis is equal to the distance between the foci and whose latus rectum is
10
.
Q.
Find the equation to the hyperbola, referred to its axes as axes of coordinates, the distance between whose foci is
16
and whose eccentricity is
√
2
.
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