Question

______❤HOLA MATES❤_____

SUBJECT : MATHS

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ANSWER MUST BE PROPER ✔✔

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QUESTION :

PROVE THAT TWO DIFFERENT CIRCLES CANNOT INTERSECT EACH OTHER AT MORE THAN TWO POINTS.

Answer 1

❤️❤️❤️❤️hlo mate ☺️☺️☺️☺️


❤️suppose two distinct intersect at more than 2 points..

❤️these points are non collinear points

❤️as three non collinear points determine one and only one circle..

❤️there should be only one circle

❤️this contradicts our assumption, therefore our assumption is wrong...

❤️hence two circle can't intersect each other at more than 2 points...

I hope it helps

❤️Abhi❤️

Answer 2

ANSWER


KINDLY LOOK ATTACHMENT


USING ONLY CONTRADICTION



I am taking m,n point into graph just usually you take anything .



now you see that I cannot be possible that two circles cut more than two points.