Properties Of Triangle

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