The time period of a particle in simple harmonic motion is equal to the time between consecutive appearances of the particle at a particular point in its motion. This point is ​?
answer is extreme position
​​please explain what the question is trying to say

Dear student

In this question we have to tell the position of point in one oscillation ( one time period ) which does not repeat in one complete oscillation i.e. when particle start from one point and come to this point again, the time must be one time period.

If we take the mean position then the particle goes to extreme position then come to mean position, goes other extreme position and come to mean position to complete one oscillation but in this oscillation particle start from mean position but cross the mean position without complete one oscillation.
So such points are the extreme points. If particle start from extreme point, it will come back to this point consecutively after one time period.

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