Question

H.
Prove
that
he
different
circles
cannot
intersect
each
other
at
more
than
vo points
1. Tivo cindes of radii 10 cm and 8 cm​

Answer 1

I will don't know

sorry

Answer 2

Let us consider that 2 distinct circles intersect at more than 2 points.

These points are non-collinear points.

As 3 non-collinear points determine one and only one circle

:There should be only one circle. (i.e. those circles are supposed to superimpose each other) But, the superimposition of 2 circles of different radii is impossible, ie. concentric circles would be derived instead.

This contradicts our assumption. Therefore, our assumption is wrong.

Hence, 2 circles cannot intersect each other at more than 2 points.