Practice Intersection (Geometric) in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The set of all points where two or more geometric objects (lines, planes, curves) meet or cross each other.
Where two roads cross—that single crossing point is their intersection.
Example 1
easyFind the intersection point of lines \ell_1: y = 3x - 2 and \ell_2: y = -x + 6.
Example 2
mediumFind the intersection point(s) of line y = x + 3 and circle x^2 + y^2 = 25. Classify the intersection (secant, tangent, or no intersection).
Example 3
easyDo lines y = 2x + 3 and y = 2x - 5 intersect? Explain why or why not.
Example 4
hardFind the intersection of the two circles: C_1: x^2 + y^2 = 25 and C_2: (x-4)^2 + y^2 = 9.