The equation #x^2+y^2=25# defines a circle at the origin and radius of 5. The line #y = x + 1# passes through the circle. What are the point(s) at which the line intersects the circle?
1 Answer
Oct 24, 2015
There are 2 points of intrersection:
Explanation:
To find if there are any points of intersection you have to solve system of equations including circle and line equations:
If you substitute
You can now divide both sides by
Now we have to substitute calculated values of
Answer: There are 2 points of intersect: