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Byju's Answer
Standard XII
Mathematics
Latus Rectum
If parabola ...
Question
If parabola
y
2
=
4
a
x
passes through the point
(
9
,
−
12
)
then find the length of latus rectum and coordinates of focus.
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Solution
∵
y
2
=
4
a
x
p
a
s
s
e
s
t
h
r
o
u
g
h
(
9
,
−
12
)
(
−
12
)
2
=
4
a
(
9
)
a
=
144
36
⇒
4
⇒
f
o
c
u
s
o
f
p
a
r
a
b
o
l
a
b
e
(
a
,
0
)
∴
f
o
c
u
s
=
(
4
,
0
)
Length of latus Rectum
=
4
a
=
4
×
4
=
16
U
n
i
t
s
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0
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