Question

two segments are interesting outside the circle, choose the correct equation to set up before having to solve for y

Answer 1

Option (C)

Given:

Two segments are interesting outside the circle.

The objective is to find the correct equation.

Since the two lines drawn from a point outside the circle passes through two points in a circle, the line is call secant line.

Consider the given figure as,

If two secant line is drawn from a point outside the circle, the equation wil be,

$a(a+b)=c(c+d)$

Now, substitute the given values in the above formula,

$\begin{gathered} 4(4+6)=2(2+y) \\ 4(10)=2(2+y) \end{gathered}$

Hence, option (C) is the correct answer.