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.
