Question

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

Answer 1

The correct answer is 12.