If the product of the perpendicular distances from any point on the hyperbola \frac{x^2}{a^2}-\frac{y^2}{b^2}=1 to its asymptotes is \frac{36}{13} and its eccentricity is {\sqrt{13}}/{3}, then a-b=

TG EAMCET 2 May 2025 Shift 1 Paper

Question : 57 of 160

Marks: +1, -0

If the product of the perpendicular distances from any point on the hyperbola ‌

−‌

=1 to its asymptotes is ‌

and its eccentricity is ‌

√13

, then a−b=

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