Mathematics Question from JEE Main 2023 · 30 January, Shift 1

A straight line cuts off the intercepts $OA = a$ and $OB = b$ on the positive directions of the $x$-axis and $y$-axis, respectively. If the perpendicular from the origin $O$ to this line makes an angle of $\frac{\pi}{6}$ with the positive direction of the $y$-axis and the area of $\triangle OAB$ is $\frac{98}{3}\sqrt{3}$, then $a^2 - b^2$ is equal to: