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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 line is x = 4, and the equation of the circle is x^2 + y^2 = 25.

 Aug 5, 2024
 #1
avatar+37159 
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Find the two y values corresponding to x = 4 

4^2 + y^2 = 25 

    y = + - 3           so now find the distance between   (4,3) and ( 4, -3) 

                  distance = 6      between A and B 

 Aug 5, 2024

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