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Byju's Answer
Standard XII
Mathematics
Standard Equation of Parabola
The focus of ...
Question
The focus of the parabola
x
2
−
2
x
−
8
y
−
23
=
0
is
A
(
1
,
−
1
)
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B
(
1
,
1
)
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C
(
−
1
,
1
)
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D
(
−
1
,
−
1
)
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Solution
The correct option is
A
(
1
,
−
1
)
Parabola
:
x
2
−
2
x
−
8
y
−
23
=
0
⇒
x
2
−
2
x
+
1
−
8
y
−
24
=
0
⇒
(
x
−
1
)
2
=
8
(
y
+
3
)
⇒
(
x
−
1
)
2
=
4
×
2
(
y
+
3
)
→
Vertical parabola
∴
a
=
2
vertex
=
(
1
,
−
3
)
∴
focus
=
(
1
+
0
,
−
3
+
2
)
=
(
1
,
−
1
)
Suggest Corrections
0
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