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Byju's Answer
Standard XI
Mathematics
Distance Formula
If the distan...
Question
If the distance between the points
(
5
,
−
2
)
and
(
1
,
a
)
is
5
units, then the value of
a
can be
A
1
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B
−
1
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C
5
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D
−
5
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Solution
The correct option is
D
−
5
5
=
√
(
1
−
5
)
2
+
(
a
−
(
−
2
)
)
2
⇒
5
=
√
16
+
(
a
+
2
)
2
On squaring both sides
25
=
16
+
(
a
+
2
)
2
⇒
(
a
+
2
)
2
=
9
⇒
(
a
+
2
)
=
±
3
⇒
a
=
−
5
,
1
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