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Byju's Answer
Standard XII
Mathematics
Absolute Value Function
The numbers, ...
Question
The number(s), at a distance of
3
units from point
A
on the number line is/are
A
4
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B
−
4
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C
−
2
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D
−
3
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Solution
The correct options are
A
4
C
−
2
Let the required point be
x
.
Then
|
A
−
x
|
=
3
⇒
|
1
−
x
|
=
3
(
∵
A
=
1
)
⇒
1
−
x
=
±
3
⇒
−
x
=
−
1
+
3
,
−
1
−
3
⇒
x
=
−
2
,
4
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