# Because \( \frac{dy}{dx}\) has killed all the creativity inside!

**Geometry**Level 3

As shown in the figure, a circle centered at \(O=(3,5)\) bears a point \(P=(8,11)\) hosting a line tangent to the circle. Can you find out the equation of that tangent line without using calculus?

If the equation of the line can be expressed in the form \(ax+by+c=0\), where \(a\),\(b\) and \(c\) are **integers** and \(\gcd(a,b,c)=1\), then enter \(|abc|\) as your answer.

\[\] **Notations**:

\(\gcd(\cdot) \) denotes the greatest common divisor function.

\( | \cdot | \) denotes the absolute value function.