Mixed Degree Systems

Question 1

What is the maximum number of solutions each of the following systems could have?Two distinct concentric circles: Two distinct parabolas: A line and a circle: A parabola and a circle:

Revolt · Accepted Answer

zero; Selection 1: zero; Selection 2: two; Selection 3: two; Selection 4: four

Question 2

Two distinct parabolas:

Revolt · Accepted Answer

two

Question 3

A line and a circle:

Revolt · Accepted Answer

two

Question 4

A parabola and a circle:

Revolt · Accepted Answer

four

Question 5

Question 5

Revolt · Accepted Answer

-11

Question 6

Question 6

Revolt · Accepted Answer

56

Mixed Degree Systems Answers

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