wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the coordinates of the point X that divides the join of A(7,4) and B(−3,6) in the ratio 1:3

A
(92,112)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(92,52)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(92,92)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
(29,29)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C (92,92)
Given the two points A(7,4) and B(3,6) and ratio m:n=1:3
Here we apply the section formula : If a point X(x,y) divides the line segment AB joining the points A(x1,y1)&B(x2,y2) in the ratio m:n then we have

x=nx1+mx2m+n,y=ny1+my2m+n.
By section formula
(x,y) =(1×(3)+3×71+3,1×6+3×41+3)=(3+214,6+124)=(184,184)=(92,92)

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Section Formula
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon