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Tardigrade
Question
Mathematics
If ends of latus rectum of parabola (x+1)2=4(y+1) are vertices of an ellipse whose eccentricity is half of eccentricity of parabola, then for ellipse,
Q. If ends of latus rectum of parabola
(
x
+
1
)
2
=
4
(
y
+
1
)
are vertices of an ellipse whose eccentricity is half of eccentricity of parabola, then for ellipse,
149
98
Conic Sections
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A
distance between foci is 2 .
87%
B
foci are
(
0
,
0
)
and
(
2
,
0
)
.
117%
C
length of latus rectum is 3 .
53%
D
combined equation of directrices are
(
x
−
3
)
(
x
+
5
)
=
0
.
72%
Solution:
Coordinate of foci
=
(
−
1
±
a
e
,
0
)
=
(
−
2
,
0
)
and
(
0
,
0
)
Equation of directrix
x
=
−
1
±
e
a
⇒
(
x
+
5
)
(
x
−
3
)
=
0
