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Maths-

General

Easy

Question

Show the conjecture is false by finding a counterexample. If A, B and C are collinear, then AB + BC = AC.

hint Hint:

Inductive Reasoning is the process of drawing a general conclusion by observing a pattern based on the observations and this conclusion is called conjecture.
Counterexample: It is an example which shows that the conjecture is false.

The correct answer is: Hence, the counterexample for the given example i.e. “If A, B and C are collinear, then AB + BC = AC” is the above diagram.

In the given figure points A, B and C are collinear.
But here AC + CB = AB instead of AB + BC = AC. So the given conjecture is wrong.
Final Answer:
Hence, the counterexample for the given example i.e. “If A, B and C are collinear, then AB + BC = AC” is the above diagram.

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