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Byju's Answer
Standard XII
Mathematics
Latus Rectum
The point 3,4...
Question
The point (3, 4) is the focus and 2x – 3y + 5 = 0 is the directrix of a parabola. Its latusrectum is
A
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B
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C
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D
None
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Solution
The correct option is
A
L
a
t
u
s
r
e
c
t
u
m
=
2
×
d
i
s
t
a
n
c
e
f
r
o
m
(
3
,
4
)
t
o
2
x
–
3
y
+
5
=
0
=
>
A
n
s
w
e
r
=
2
×
|
6
−
12
+
5
|
√
4
+
9
=
2
√
13
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9
Similar questions
Q.
The point (3,4) is the focus and
2
x
−
3
y
+
5
=
0
is the directrix of a parabola .Its latus rectum is
Q.
The point
(
3
,
4
)
is the focus and
2
x
−
3
y
+
5
=
0
is the directrix of a parabola. Lenghth of latus rectum is
Q.
The directrix of a parabola is
x
+
8
=
0
and its focus is at
(
4
,
3
)
. Then, the length of the latusrectum of the parabola is
Q.
The focus and directrix of a parabola are
(
1
,
2
)
and
2
x
−
3
y
+
1
=
0
. Then the equation of the tangent at the vertex is
Q.
Coordinates of any point on the parabola, whose focus is
(
−
3
2
,
−
3
)
and the directrix is
2
x
+
5
=
0
is given by
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