The answer for mixed degree systems  what is the maximum number of solutions each of the following systems could have? two distinct concentric circles: zerotwo distinct parabolas: twoa line and a circle: twoa parabola and a circle: four

Solution:

we have been asked to find the maximum number of solutions each of the following systems could have?

Two distinct concentric circles: Zero

Two distinct concentric circles never intersects each other . Hence it does not have any solutions.

Two distinct parabolas: two

As we know that the two parabolas intersect at a maximum of Two Points. Hence the maximum number of solution is Two.

A line and a circle: two

A line and a circle can intersect at a maximum of Two Points. Hence the maximum number of solution is Two.

A parabola and a circle: Four

A Parabola and a circle can intersect at a maximum of Four Points. Hence the maximum number of solution is Four.