"No circle contains three distinct collinear point" prove that
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"No circle contains three distinct collinear point"
Step-by-step explanation:
Consider three points P, Q and R which are collinear.
A Circle is a Closed Curvature Moves along with the Path joining infinite number of points equidistant from the Center having a finite length.
In fact the circumference of a circle is not a straight line but each point changes the angular distance from the Center Unless this curved line (the circumference) is straightened up, there is no possibility for the curved line to pass through more than TWO COLLINEAR POINTS joining the cords across the circumference and the diameter being the largest one.
It can be seen that if three points are collinear any one of the points either lie outside the circle or inside it. Therefore, a circle passing through 3 points, where the points are collinear is not possible.
#Learn more:
How many planes can be made to pass through three distinct points when a) Three distinct points are collinear. b) Three distinct points are non-collinear
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