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Byju's Answer
Standard XII
Mathematics
Axis
A parabola is...
Question
A parabola is given in its standard form as
y
2
=
8
x
.
The coordinates of the foci are
A
(
2
,
0
)
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B
(
0
,
2
)
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C
(
−
2
,
0
)
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D
(
0
,
−
2
)
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Solution
The correct option is
A
(
2
,
0
)
The standard form of a parabola is
y
2
=
4
a
x
In this statement,
parabola is
y
2
=
8
x
When comparing these 2 equations:
y
2
=
4
a
x
and
y
2
=
8
x
, we get
a
=
2
There is no
b
term, hence the value of
b
=
0
Hence, the c
oordinates of the foci are
(
2
,
0
)
.
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