Why for a point in a given circle to be the closest to origin, it must be collinear to center of circle and origin?
2026-04-25 17:40:15.1777138815
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Why for a point in a given circle to be closest to the origin it must be collinear to center of circle and origin?
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Straight line is the shortest way from the center to the origin and if you draw that line, it will intersect the circle. The point of intersection is on that line. If there is another point on the circle that's closer to the origin, it means that there is a shorter way from the origin to the center, which is impossible.
Does this help? Just think about it!