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Chapter 9: Q16. (page 331)

Draw two points A & B and several circles that pass through A and B. Locate the centers of these circles. On the basis of your experiment, complete the following statement:

The centers of all circles passing through A and B lie on ______.

Write an argument to support your statement.

Short Answer

Expert verified

The centres of all circles passing through Aand B lie on a straight line.

Step by step solution

01

Step 1. Given information. 

Circles passes through two points A and B.

02

Step 2. Concept used.

Co-linear centers.

03

Step 3. Find value.

The points of centres of circles are co-linear, which are passing through the two intersection points, namely A and B.

Therefore, the centres of all the circles passing through A and B lie on a straight line.

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