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:

×

Problem Loading...

Note Loading...

Set Loading...