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Q.


State whether the following statement is true or false.

If two circles are equal, then their radii are also equal.


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a

True

b

False  

answer is A.

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Detailed Solution

Here, we have to find whether two circles are equal, then their radii are also equal or not.
Euclid’s axiom 4: Things which coincide with one another are equal to one another.
Let’s consider two equal circles with center D and O respectively.Question ImageUse Euclid’s axiom 4, map both the circles.
Question Image                           It is clearly seen that both the circles coincide.
Therefore, the radii of both the circles are equal.
Hence, if two circles are equal, then their radii are also equal.
Thus, the given statement is true.
So, option (1) is correct.
 
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