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

What is the distance between the points which divide the line segment joining (4,3) and (5,7) internally and externally in the ratio 2:3?

A
12175
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
13175
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
175
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
6175
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 12175
Given (4,3) and (5,7)
Internally and externally in ratio
(1) Internal division:
x=2(5)+3(4)5,y=2(7)+3(3)2+3(x,y)=(225,235)

(2) External division:
x=2(5)3(4)23,y=2(7)3(3)23(x,y)=(2,5)

Distance=(225(2))2+(235(5))2=14425+230425=12175.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Law of Conservation of Energy
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon