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.

MEMEG0D Sep 8, 2024

#1**0 **

*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. *

To find the point(s) common to both functions, substitute the equal value that you know.

x^{2} + y^{2} = 25

you know that x=4 4^{2} + y^{2} = 25

y^{2} = 25 – 16 = 9

y = __+__3

and it's given that x=4

so the points of intersection are +4,+3 & +4,–3

so, of course, the distance between the points is **6 units**

_{.}

Bosco Sep 8, 2024