Question

Draw a circle which is passing through non-collinear points and write construction steps.
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Answer 1

Answer:

We will first of all define certain terms to solve this question.

Collinear points – Three or more points are said to be collinear if they lie in the same straight line.

For example: In the figure below the points A, B and C are collinear.

Non – collinear point – Three or more points are called non – collinear points if they do not lie in the same straight line.

Example: In the figure below P, Q and R are non-collinear.

Here in this question, we are given three non-collinear points; let it be P, Q, and R. We will follow certain steps of construction to draw a circle using these points,

Step 1: Join PQ and QR.

Step 2: Using a compass draw perpendicular bisectors of line PQ and line QR. Name them as MN & ST respectively.

Le the point where they meet name as O.

Step 3: Taking O as the point on the compass and radius as OP draws a circle.

We have obtained only one circle using these three non-collinear points P, Q, and R.

Therefore only one circle can be obtained using three non-collinear points.

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