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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.

 Mar 22, 2024
 #1
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x^2  + (-4)^2  = 20

 

x^2 + 16  =  20

 

x^2  = 4

 

x  = 2                x =  -2

 

A = (2, -4)      B =  (-2 , -2)

 

AB =   2 - (-2)  =   4

 

cool cool cool

 Mar 23, 2024

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