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Byju's Answer
Standard XII
Mathematics
Standard Equation of Parabola
The coordinat...
Question
The coordinates of the end points of the latus rectum of parabola
x
2
+
8
y
=
0
are
–
–––––
–
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Solution
Equation of parabola :
x
2
+
8
y
=
0
⇒
x
2
=
−
8
y
⇒
a
=
2
Coordinate of end points of latus-rectum are
L
(
2
a
,
−
a
)
and
L
′
(
−
2
a
,
−
a
)
⇒
L
=
(
4
,
−
2
)
and
L
′
=
(
−
4
,
−
2
)
Hence, the coordinate of the end points of the latus rectum of parabola
x
2
+
8
y
=
0
are
(
4
,
−
2
)
and
(
−
4
,
−
2
)
.
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Q.
The coordinates of the end-points of the latusrectum of the parabola x
2
+ 8y = 0 are __________.