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Byju's Answer
Standard XII
Mathematics
Distance Formula
Examine wheth...
Question
Examine whether the points (1, -1),(-5, 7) and (2, 5) are equidistant from the point (-2, 3)?
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Solution
Given points are
(
1
,
−
1
)
;
(
−
5
,
7
)
;
(
2
,
5
)
and
(
−
2
,
3
)
Distance from
(
−
2
,
3
)
to
(
1
,
−
1
)
√
(
1
+
2
)
2
−
(
3
+
1
)
2
√
9
+
16
√
25
=
5
Distance from
(
−
2
,
3
)
to
(
−
5
,
7
)
√
(
−
5
+
2
)
2
−
(
7
−
3
)
2
√
9
+
16
√
25
=
5
Distance from
(
−
2
,
3
)
to
(
2
,
5
)
√
(
2
+
2
)
2
−
(
3
−
5
)
2
√
16
+
9
√
25
=
5
So the points are equidistant from each other
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