# Math Help - Tangets of a circle

1. ## Tangets of a circle

The lengths of the tangents drawn from the points $A$ and $B$ to a circle $k$ are $a$ and $b$, respectively. We know that $\frac{AT}{a}=\frac{BT}{b}$ (and $A, B, T$ are not collinear.) Prove that the circle passing through the points $A, B, T$ touches $k$.