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Byju's Answer
Standard XIII
Mathematics
Internal Division
P and Q are t...
Question
P
and
Q
are two points lying on the line joining the points
A
(
12
,
8
)
and
B
(
−
2
,
6
)
such that
A
P
=
P
Q
=
Q
B
.
Then the midpoint of
P
Q
is
A
(
7
,
1
)
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B
(
9
,
3
)
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C
(
6
,
4
)
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D
(
5
,
7
)
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Solution
The correct option is
D
(
5
,
7
)
Let
O
be the mid point of
P
Q
.
It is given that
A
P
=
P
Q
=
B
Q
Hence, the midpoint of
P
Q
is same as the midpoint of
A
B
, i.e.
O
Therefore, coordinates of
O
are
O
≡
(
12
−
2
2
,
8
+
6
2
)
⇒
O
≡
(
5
,
7
)
Suggest Corrections
0
Similar questions
Q.
P
and
Q
are two points lying on the line joining the points
A
(
12
,
8
)
and
B
(
−
2
,
6
)
such that
A
P
=
P
Q
=
Q
B
.
Then the midpoint of
P
Q
is
Q.
P
a
n
d
Q
are points on the line joining
A
(
−
2
,
5
)
a
n
d
(
3
,
1
)
such that
A
P
=
P
Q
=
Q
B
then the mid point of
P
Q
is ?
Q.
A
=
(
2
,
3
,
0
)
and
B
=
(
2
,
1
,
2
)
are two points. If the points
P
,
Q
are on the line
A
B
such that
A
P
=
P
Q
=
Q
B
, then
P
Q
=
Q.
A
=
(
1
,
1
,
4
)
and B
=
(
5
,
−
3
,
4
)
are two points. If the points
P
,
Q
are on the line AB such that AP
=
PQ
=
QB then PQ
=
Q.
If
A
=
(
1
,
2
,
3
)
and
B
(
3
,
5
,
7
)
and
P
,
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Internal Division
Standard XIII Mathematics
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