1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Distance Formula
If a, b is th...
Question
If (a,b) is the mid-point of the line segment joining the points A (10,
-
6) , B (k,4) and a
-
2b = 18 , find the value of k and the distance AB.
Open in App
Solution
It is given that A(10, −6) and B(k, 4).
Suppose (a, b) be midpoint of AB. Then,
a
=
10
+
k
2
,
b
=
-
6
+
4
2
=
-
2
2
=
-
1
N
o
w
,
a
-
2
b
=
18
⇒
a
=
18
-
2
=
16
T
h
e
r
e
f
o
r
e
,
16
×
2
=
10
+
k
⇒
k
=
22
F
u
r
t
h
e
r
,
A
B
=
22
-
10
2
+
4
+
6
2
=
144
+
100
=
2
61
Suggest Corrections
61
Similar questions
Q.
Question 13
If (a,b) is the mid-point of the line segment joining the points A(10, -6), B(k, 4) and a-2b=18. Then find the value of k and the distance AB.
Q.
1. If (a,b) is the midpoint of the line segment joining the points A(10,-6)& B(k,4) and a-2b=18, then find the value of k and the distance AB.
Q.
Find the mid-points of the line segment joining the points.
(
a
,
b
)
and
(
a
+
2
b
,
2
a
−
b
)
Q.
If the mid-point of the line segments joining the points
(
6
,
a
−
2
)
and
(
−
2
,
4
)
is
(
2
,
−
4
)
, then find the value of
a
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
Distance Formula
MATHEMATICS
Watch in App
Explore more
Distance 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
AI Tutor
Textbooks
Question Papers
Install app