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Byju's Answer
Standard XI
Mathematics
Length of Latus Rectum
If y2+2y-x+5=...
Question
If
y
2
+
2
y
−
x
+
5
=
0
represents a parabola, then the length (in units) of the latus rectum is
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Solution
Given :
y
2
+
2
y
−
x
+
5
=
0
⇒
y
2
+
2
y
+
1
=
x
−
4
⇒
(
y
+
1
)
2
=
(
x
−
4
)
Comparing with standard equation of parabola
Y
2
=
4
a
X
,
4
a
=
1
∴
Length of latus rectum
=
4
a
=
1
unit
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Length of Latus Rectum
Standard XI Mathematics
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