1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VI
Mathematics
Collinear Points
Show that the...
Question
Show that the points
(
−
1
,
7
)
,
(
3
,
−
5
)
,
(
4
,
−
8
)
are collinear.
Open in App
Solution
Let
A
(
−
1
,
7
)
,
B
(
3
,
−
5
)
,
C
(
4
,
−
8
)
be the coordinates
The given points are said to be collinear if area of
△
A
B
C
=
0
Δ
=
1
2
∣
∣ ∣
∣
−
1
3
1
3
−
5
1
4
−
8
1
∣
∣ ∣
∣
=
1
2
[
−
1
(
−
5
+
8
)
−
7
(
3
−
4
)
+
1
(
−
24
+
20
)
]
=
1
2
[
−
1
(
3
)
−
7
(
−
1
)
+
1
(
−
4
)
]
=
1
2
[
−
3
+
7
−
4
]
=
0
Hence the given points are collinear.
Suggest Corrections
0
Similar questions
Q.
Show that the points
A
(
3
,
2
,
−
4
)
,
B
(
5
,
4
,
−
6
)
and
C
(
9
,
8
,
−
10
)
are collinear, find the ratio in which
B
divides
¯
¯¯¯¯¯¯
¯
A
C
.
Q.
Show that the following points are collinear.
(6, 2), (2, -3) and (-2, -8)
Q.
Show that the point
(
5
,
4
,
2
)
,
(
6
,
2
,
−
1
)
and
(
8
,
−
2
,
−
7
)
are collinear.
Q.
Show that points are collinear
Q.
Show that points
A
(
4
,
2
)
B
(
7
,
5
)
C
(
9
,
7
)
are collinear.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
MATHEMATICS
Watch in App
Explore more
Collinear Points
Standard VI Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app