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Byju's Answer
Standard IX
Mathematics
Coordinate Axes and Cartesian Plane
1. The eccent...
Question
1. The eccentricity of an ellipse is 1/2, focus is S(0,0) and the major axis and directrix intersect at Z(-1,-1). Find the coordinates of the centre of ellipse.
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Q.
A focus of an ellipse at the origin. The directrix is the line
x
=
4
and eccentricity is
1
2
, then the length of the semi major axis is
Q.
If the focus and corresponding directrix of an ellipse are
(
3
,
4
)
and
x
+
y
−
1
=
0
respectively and ecentricity is
1
2
then find the coordinates of extremities of major axis.
Q.
A focus of an ellipse is at the origin. The directrix is the line
x
=
4
and the eccentricity is
1
2
. Then the length of the semi major axis is
Q.
An ellipse has eccentricity
1
2
and one focus is at point
P
(
1
2
,
1
)
. A common tangent to the circle
x
2
+
y
2
=
1
and hyperbola
x
2
−
y
2
=
1
which is nearer to point
P
is directrix of ellipse. Then co-ordinates of centre of ellipse are
Q.
Find the equation of the ellipse whose focus is
(
1
,
−
1
)
eccentricity is
2
3
and directrix is
x
+
y
+
2
=
0
.
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