A circle of radius unity is centred at origin. Two particles start moving at the same time from the point (1, 0) and move around the circle in opposite direction. One of the particle moves counterclockwise with constant speed and the other moves clockwise with constant speed . After leaving (1, 0), the two particles meet first at a point , and continue until they meet next at point . The coordinates of the point is

a)

(1, 0)

b)

(0, 1)

c)

d)

Question ID - 56686 | Toppr Answer

A circle of radius unity is centred at origin. Two particles start moving at the same time from the point (1, 0) and move around the circle in opposite direction. One of the particle moves counterclockwise with constant speed and the other moves clockwise with constant speed . After leaving (1, 0), the two particles meet first at a point , and continue until they meet next at point . The coordinates of the point is

The particle which moves clockwise is moving three times as fast as the particle moving anticlockwise. This means the clockwise particle travels (3/4)th of the way around the circle, the anticlockwise particle will travel (1/4)th of the way around the circle and so the second particle will meet at

Using the same logic they will meet at when they meet the second time