JEE Mains 13-Apr-2023 Shift 2 Solved Paper

The foci of a hyperbola are (±2,0) and its eccentricity is ‌

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 _______.