Math Problem Statement

Suppose the equations (x - 4)^2 + (y - 3)^2 = 4 and (x - 4)^2/4 + (y - 10)^2/16 = 1 are graphed in the same standard (x,y) coordinate plane. How many points of intersection do these graphs share?

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Conic Sections
Graphing Equations

Formulas

Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2
Equation of an Ellipse: (x - h)^2/a^2 + (y - k)^2/b^2 = 1

Theorems

Intersection of Circle and Ellipse

Suitable Grade Level

Grades 9-12

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