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.

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