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Byju's Answer
Standard XII
Physics
Introduction
Asymptotes of...
Question
Asymptote(s) of the function
y
=
2
x
3
−
2
3
x
3
−
9
is/are
A
x
=
0
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B
x
=
2
3
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C
y
=
2
3
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D
y
=
0
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Solution
The correct option is
C
y
=
2
3
Given function is
y
=
2
x
3
−
2
3
x
3
−
9
⇒
y
=
2
x
3
−
2
3
x
3
−
9
=
2
−
2
x
3
3
−
9
x
3
As
x
→
∞
,
y
→
2
3
Therefore
y
=
2
3
is an asymptote of given function
Therefore option
C
is correct
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0
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