CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If x−axis divide the line segment joining the points (4,6) and (1,−7) in ratio m:n, then the coordinates of the point of division is

A
(1331,0)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(3113,0)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
(175,0)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(517,0)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is D (3113,0)
Let a point P(x,y) divide the line segment AB joining the points A(x1,y1) & B(x2,y2) in the ratio m:n.
Here the point is on the xaxis.
So, P(x,y)=(x,0)
Then, by section formula we have
x=nx1+mx2m+n & y=ny1+my2m+n
Now, A(x1,y1)=(4,6) & B(x2,y2)=(17)
Therefore, y=ny1+my2m+n0=7m+6nm+n
mn=67 i.e. m:n=6:7
x=nx2+mx1m+n
x=7×1+6×46+7=3113
P(x,0)=P(3113,0)
Hence, option B is correct.

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