+452 A line and a circle intersect at $A$ and $B,$ as shown below. Find the distance between $A$ and $B$.
The line is x = 4, and the equation of the circle is x^2 + y^2 = 25.
+49 We're just trying to solve a system of equations here. If we plug in \(x=4\) into the circle equation and isolate the variable, we get \(y^2=9\), or \(y = \pm 3\). The coordinates of the intersections are (4,3) and (4, -3). This means the two intersection is 6 units away.
Feel free to correct me if I'm wrong! :D
