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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.

 Jul 14, 2024
 #1
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x^2 + y^2 = 25

 

(4)^2  + y^2  = 25

 

y^2  = 9

 

y = -3       y = 3

 

A= (4,-3)     B = (4,3)

 

AB =  (3 - -3)  =  6

 

cool cool cool

 Jul 14, 2024

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