CircleHardBloom L3
Question
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 particles moves counter clockwise with constant speed $v$ and the other moves clockwise with constant speed $3v$. After leaving $(1,0)$, the two particles meet first at a point $P$, and continue until they meet next at point $Q$. The coordinates of the point $Q$ are:
Options
A.$(1,0)$
B.$(0,1)$
C.$(0, - 1)$
D.$( - 1,0)$
Solution
Sol. [Key Concept: Two particles, speeds $v$ and $3v$ in opposite senses on the unit circle: meeting angles are in ratio $1:3$ — track positions.]
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