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Byju's Answer
Standard XII
Mathematics
Area between Two Curves
The point on ...
Question
The point on the line
x
+
y
=
4
which lies at a unit distance from the line
4
x
+
3
y
=
10
are
A
(
3
,
1
)
,
(
−
7
,
11
)
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B
(
3
,
1
)
,
(
7
,
11
)
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C
(
−
3
,
1
)
,
(
−
7
,
11
)
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D
(
1
,
3
)
,
(
−
7
,
11
)
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Solution
The correct option is
A
(
3
,
1
)
,
(
−
7
,
11
)
Let the point
(
h
,
k
)
lie on the line
x
+
y
=
4
then
h
+
k
=
4
....(i)
and
1
=
±
4
h
+
3
k
−
10
√
4
2
+
3
2
⇒
4
h
+
3
k
=
15
.....(ii)
4
h
+
5
k
=
5
.....(iii)
On solving Eqs
(
i
)
and
(
i
i
)
and Eqs
(
i
)
and
(
i
i
i
, we get the required points
(
3
,
1
)
and
(
−
7
,
11
)
Suggest Corrections
0
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