Hyperbola

The foci of a hyperbola are \(( \pm 2,0)\) and its eccentricity is \(\frac{3}{2}\). A tangent, perpendicular to the line \(2 x+3 y=6\), is drawn at a point in the first quadrant on the hyperbola. If the intercepts made by the tangent on the \(\mathrm{x}\) - and \(\mathrm{y}\)-axes are \(\mathrm{a}\) and \(\mathrm{b}\) respectively, then \(|6 a|+|5 b|\) is equal to __________