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Answer :

Given:

A figure of a circle. A secant and tangent of the given circle.

To find:

The correct equation.

Solution:

According the intersecting tangent secant theorem, the square of tangent is equal to the property of external segment of secant and the measure of the secant.

Using intersecting tangent secant theorem, we get

[tex]6^2=x(x+5)[/tex]

It can be written as

[tex]x(x+5)=6^2[/tex]

The required equation is [tex]x(x+5)=6^2[/tex].

Therefore, the correct option is B.