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Byju's Answer
Standard XII
Mathematics
Addition of Vectors
Find the dist...
Question
Find the distance of the point (4,2) from the line passing through the points (4,1) and (2,3).
A
1
√
2
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B
−
1
√
2
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C
1
2
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D
None of these
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Solution
The correct option is
B
1
√
2
Equation of the line passing through the point (
4
,
1) and (
2
,
3) is
x
−
4
y
−
1
=
2
−
4
3
−
1
=
>
x
−
4
y
−
1
=
−
2
2
=
>
x
−
4
=
−
1
(
y
−
1
)
=
>
x
−
4
=
1
−
y
=
>
x
+
y
−
5
=
0
∴
Distance
=
|
4
+
2
−
5
|
√
1
+
1
=
|
6
−
5
|
√
2
=
1
√
2
.
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