A circle is a set of all points that are the same distance from one given point. Find an wxample that cotradicts this definition. How would you change the definitio to make it more accirate?

Part A

The given definition of a circle is the set of all points that are the same distance from one given point

One example that contradicts the definition, is the set of all points in a three dimensional plane which are equidistant from, a point, which is the definition of a sphere

Part B

The definition of a circle can be modified to include the location of the points on the same plane, from which we therefore have;

A circle is a set of all points on a plane that are the same distance from one given point

Step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c