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  • Write True or False and justify your answer in each of the following: Through three collinear points a circle can be drawn.

Write True or False and justify your answer in each of the following:Through three collinear points a circle can be drawn.

Answers (1)

Answer: False

Hint:

Solution:

We can draw a circle from one given point. For example from point A in the figure, we can draw infinite circles passing through that point

We can draw a circle from two given points as well taking those two points as the diameter or any chord of that circle. For example, from points A and B, we can draw infinite circles as shown below:

But when we talk about three collinear points, it means that these three points lie on a straight line.

So it is not possible to draw a circle passing through three points on a straight line. 

Hence the given statement is False

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infoexpert24

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