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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.

 May 28, 2024
 #1
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x^2 + (-4)^2  = 20

x^2 + 16 =20

x^2 = 4

x= 2    or x = -2

 

A= (-2,4)   B = (2,-4)

 

AB  =  [ 2 - -2 ]  = 4

 

cool cool cool

 May 28, 2024

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