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Byju's Answer
Standard XII
Mathematics
Distance Formula
If 2,-4 is ...
Question
If
(
2
,
−
4
)
is equidistant from
(
3
,
8
)
and
(
−
10
,
y
)
. find the value of
y
.
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Solution
√
(
2
−
3
)
2
+
(
−
4
−
8
)
2
=
√
{
2
−
(
−
10
)
}
2
+
(
−
4
−
y
)
2
√
1
−
144
=
√
144
+
(
4
+
y
)
2
∴
(
y
+
4
)
2
=
1
y
+
4
=
+
1
y
+
4
=
−
1
y
=
−
3
y
=
−
5
.
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