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Byju's Answer
Standard VIII
Mathematics
The Centroid
12 The point ...
Question
12 The point P divides the line segment joning A(-5,1) and B(3,5) in the ratio of alpha : 1 internally .Point Qand R are (1,5) and (7,2) restactively .If area of tringle PQR is 2 then find the value of alpha ??
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Q.
The point
A
divides the line segment joining the points
(
−
5
,
1
)
and
(
3
,
5
)
in the ratio
k
:
1
. The coordinates of points
B
and
C
are
(
1
,
5
)
and
(
7
,
−
2
)
respectively. If the area of
△
A
B
C
is
2
square units, then the number of values of
k
is
Q.
The point
A
divides the join of the points
(
5
,
1
)
and
(
3
,
5
)
in the ratio
k
:
1
and coordinates of points
B
and
C
are
(
1
,
5
)
and
(
7
,
2
)
respectively. If the area of
Δ
A
B
C
be
2
units, then
k
equals
Q.
The point
A
divides the line segment joining the points
P
(
−
5
,
1
)
and
Q
(
3
,
5
)
in the ratio
k
:
1
. Find the two values of
k
for which the area of
△
A
B
C
is equal to
2
square units
where
B
is
(
1
,
5
)
and
C
(
7
,
−
2
)
.
Q.
Find the position vector of a point
R
which divides the line joining
A
(
−
−
2
,
1
,
3
)
and
B
(
3
,
5
,
−
2
)
in the ratio
2
:
1
(i) Internally
(ii) externally.
Q.
The point
A
divides the line segment joining the points
(
−
5
,
1
)
and
(
3
,
5
)
in the ratio
k
:
1
. The coordinates of points
B
and
C
are
(
1
,
5
)
and
(
7
,
−
2
)
respectively. If the area of
△
A
B
C
is
2
square units, then the number of values of
k
is
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