1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Mid Point Formula
In what ratio...
Question
In what ratio does the point
(
24
11
,
y
)
divide the line segment joining the points P (2, -2) and Q(3, 7)? Also find the value of y.
Open in App
Solution
Let point R divides PQ in the ratio k:1
R =
(
m
1
x
2
+
m
2
x
1
m
1
+
m
2
,
m
1
y
2
+
m
2
y
1
m
1
+
m
2
)
⇒
(
24
11
,
y
)
=
(
k
(
3
)
+
1
(
2
)
k
+
1
,
k
(
7
)
+
1
(
−
2
)
k
+
1
)
=
(
3
k
+
2
k
+
1
,
7
k
−
2
k
+
1
)
⇒
3
k
+
2
k
+
1
=
24
11
⇒
11
(
3
k
+
2
)
=
24
(
k
+
1
)
⇒
33
k
+
22
=
24
k
+
24
⇒
33
k
−
24
k
=
24
−
22
⇒
9
k
=
2
⇒
k
=
2
9
∴
k
:
1
=
2
:
9
Now,
y =
7
k
−
2
k
+
1
=
7
(
2
9
)
−
2
2
9
+
1
=
14
9
−
2
2
9
+
1
=
14
−
18
9
2
+
9
9
=
−
4
11
Line PQ divides in the ratio 2:9 and value of y =
−
4
11
Suggest Corrections
141
Similar questions
Q.
In what ratio does the point
24
11
,
y
divide the line segment joining the points P(2, –2) and Q(3, 7)? Also, find the value of y. [CBSE 2017]
Q.
In what ratio does the line
x
−
y
−
2
=
0
divide the line segment joining the points
(
3
,
−
1
)
and
(
8
,
9
)
? Also, find co-ordinates of point of intersection.
Q.
In what ratio does
y
-axis divide the line segment joining points
P
(
5
,
7
)
and
Q
(
−
8
,
9
)
?
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
Mid Point Formula
MATHEMATICS
Watch in App
Explore more
Mid Point Formula
Standard X 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
Solve
Textbooks
Question Papers
Install app