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Byju's Answer
Standard XII
Mathematics
Four Common Forms of Parabola Equation
The point 2...
Question
The point
(
2
,
5
)
lies ______________ the hyperbola
2
x
2
−
y
2
=
1
is
A
Inside
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B
Outside
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C
On
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D
None of the above
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Solution
The correct option is
A
Outside
If the point
(
x
1
,
y
1
)
lies outside, on or inside the hyperbola
x
2
a
2
−
y
2
b
2
=
1
then
x
2
1
a
2
−
y
2
1
b
2
−
1
<
,
=
or
>
0
.
S
1
=
2
∗
4
−
25
−
1
=
−
10
<
0
Point
P
lies outside
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0
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Q.
The point
(
2
,
5
)
lies ______________ the hyperbola
81
x
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−
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=
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is
Q.
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Q.
Which among the following points lies outside the hyperbola
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Q.
Assertion :The point
(
7
,
−
3
)
relative to hyperbola
9
x
2
−
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y
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=
36
lies inside it. Reason: If the point
(
x
1
,
y
1
)
lies outside the hyperbola
x
2
a
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−
y
2
b
2
=
1
then
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−
y
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b
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−
1
>
0
.
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