State whether the following statement is True or False: If the line $lx+my=1$ is a tangent to the circle $x^2+y^2=a^2$,then the point $(l,m)$ lies on a circle.

Question

[Hint: Use that distance from the centre of the circle to the given line is equal to radius of the circle.]

$\begin{array}{1 1}\text{True}\\\text{False}\end{array} $