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Byju's Answer
Standard X
Mathematics
Distance between Two Points on the Same Coordinate Axes
Find the dist...
Question
Find the distance between
(
3
,
−
5
)
and
(
−
4
,
7
)
.
A
√
144
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B
√
193
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C
√
169
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D
√
133
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Solution
The correct option is
B
√
193
The distance between the points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
is given by:
D
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Therefore, the distance between the points
(
3
,
−
5
)
and
(
−
4
,
7
)
is:
D
=
√
(
−
4
−
3
)
2
+
(
7
−
(
−
5
)
)
2
=
√
(
−
7
)
2
+
12
2
=
√
49
+
144
=
√
193
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