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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.

 Jan 20, 2024
 #1
avatar+36746 
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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

 Jan 21, 2024

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