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Byju's Answer
Standard XII
Mathematics
Axis
In a parabola...
Question
In a parabola, length of the latus rectum is 4a.
A
True
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B
False
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Solution
The correct option is
A
True
Here, LSL' is the latus rectum of
y
2
=
4
a
x
.
Hence, the length of the latus rectum is
4
a
.
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Similar questions
Q.
Assertion :Length of latus rectum of the parabola
(
2
x
+
3
y
+
2
)
2
=
4
(
3
x
+
2
y
+
3
)
is
4
. Reason: Length of latus rectum of the parabola
y
2
=
4
a
x
is
4
a
.
Q.
In the line
2
x
+
3
y
=
1
touches the parabola
y
2
=
4
a
(
x
+
a
)
, then the length of its latus rectum is
Q.
If a parabola whose length of latus rectum is 4a touches both the coordinate axes then the focus of its locus is
Q.
The differential equation of parabola with axis parallel to y-axis and length of latus rectum as 4a is of order:
Q.
Assertion :The length of latus rectum of the parabola whose parametric equation is
x
=
t
2
+
t
+
1
&
y
=
t
2
−
t
+
1
for
t
∈
R
is equal to
2
. Reason: The length of the latus rectum of the parabola
y
2
=
4
a
x
is
4
a
.
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