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Byju's Answer
Standard X
Mathematics
Mid Point
M is the midp...
Question
M
is the midpoint of the straight line
P
Q
. If
P
(
−
2
,
9
)
and
M
is
(
4
,
3
)
, find the coordinates of
Q
.
A
(
1
,
6
)
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B
(
10
,
−
3
)
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C
(
10
,
6
)
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D
(
8
,
−
3
)
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Solution
The correct option is
C
(
10
,
−
3
)
Let the coordinates of point
Q
be
(
h
,
k
)
.
Now, by midpoint formulae,
(
h
−
2
2
,
k
+
9
2
)
=
(
4
,
3
)
h
−
2
2
=
4
and
k
+
9
2
=
3
h
−
2
=
8
and
k
+
9
=
6
h
=
10
and
k
=
−
3
Hence, coordinates of point
Q
is
(
10
,
−
3
)
.
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