Question: a. How many times can a line intersect a circle? Prove answer algebraically. b. How many times can a parabola intersect a circle? Prove answer

a. How many times can a line intersect a circle? Prove answer algebraically.

b. How many times can a parabola intersect a circle? Prove answer algebraically. Use parabola,

y=x^2 and use a a general circle: (x-a)^2 +(y-b)^2=r^2

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