A line and a circle intersect at $A$ and $B,$ as shown below. Find the distance between $A$ and $B$.

The circle is x^2 + y^2 = 20.

The line is y = -4.

booboo44 Jan 20, 2024

#1**+1 **

x^2 + (-4)^2 = 20

x^2 + 16 = 20

x= +-2

so the points of intersection are (2,-4) and (-2,-4) the distance between these points is 4 units

ElectricPavlov Jan 21, 2024