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Question 85

The foci of a hyperbola are $$(\pm 2, 0)$$ 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 _____.


Correct Answer: 12

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