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The product of the lengths of perpendiculars drawn from any point on the hyperbola $x^2-2 y^2-2=0$ to its asymptotes is
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$2/3$
Given equation is $\frac{x^2}{2}-\frac{y^2}{1}=1$ ....(i)
Product of length of perpendiculars drawn from any point on the hyperbola (i) to the asymptotes is $\frac{a^2 b^2}{a^2+b^2}=\frac{2 \times 1}{2+1}=\frac{2}{3}$
Product of length of perpendiculars drawn from any point on the hyperbola (i) to the asymptotes is $\frac{a^2 b^2}{a^2+b^2}=\frac{2 \times 1}{2+1}=\frac{2}{3}$
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