Question

Think about all of the ways in which a circle and a parabola can intersect.

Answer 1

There will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle and a parabola:

As we know the standard form of a circle:

$\rm (x-h)^2 +(y-k)^2=r^2$

The standard form of the parabola:

$\rm y = a(x-h)^2+k$  

If we plug the value of y from the parabola equation in the circle equation, we get a quartic equation(4th order equation)

The solution of the quartic equation will be 4.

Thus, there will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

Learn more about circle here:

brainly.com/question/11833983

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