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Mathematics
A parabola S=0 has its vertex at (-9,3) and it touches the x-axis at the origin then equation of axis of symmetry of the aforesaid parabola can be.
Q. A parabola
S
=
0
has its vertex at
(
−
9
,
3
)
and it touches the
x
-axis at the origin then equation of axis of symmetry of the aforesaid parabola can be.
482
145
JEE Advanced
JEE Advanced 2018
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A
x
−
y
+
12
=
0
60%
B
x
−
2
y
+
15
=
0
93%
C
2
x
−
y
+
21
=
0
40%
D
x
+
y
+
6
=
0
67%
Solution:
V
C
=
3
units,
CO
=
9
units
As per property:
A
V
=
V
N
and
A
V
A
N
=
2
=
V
C
MN
⇒
OM
=
6
tan
θ
,
A
C
=
CM
=
3
cot
θ
⇒
9
=
3
(
2
tan
θ
+
t
a
n
θ
1
)
⇒
m
=
1
or
m
=
2
1
⇒
E
q
n
of Axis can be
(
y
−
3
)
=
1
(
x
+
9
)
or
(
y
−
3
)
=
2
1
(
x
+
9
)