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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 2, 2024
 #1
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x^2  + (-4)^2  = 20

 

x^2 + 16 =  20

 

x^2  = 4

 

x= 2      or         x  =   -2

y = -4               y =    -4

 

AB =   2- (-2)  =  4

 

 

cool cool cool

 Jan 3, 2024

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