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

Three points are located at the vertices of an equilateral triangle having each side as α. All the points move simultaneously with speed u such that first point continually heads for second, the second for the third and the third for the first. Time taken by the points to meet at the centre is

134198_8b7d8624468344c38b40d5a209ce242f.png

A
α3u
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2α3u
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
α2u3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3α2u
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 2α3u
All three points were initially at same distance from the centroid of the original equilateral triangle of the side α
At any time t, the three points still form an equilateral triangle, moving with the same speed
The distance between two points is decreasing at the same rate as at the beginning.
The total amount of time taken for the points to meet is α divided by the inital rate at which two points approach each other
Taking any two points it shows first point moves in the direction of the second at speed μ
While the second moves in direction of first (taking component along one of the triangle edges) at μcos60°=μ2
The rate at which the distance between two points is decreasing is 3μ2
The time taken by the three points to meet is thus 2α 3μ

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