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Q.

A chord of the hyperbola $x^{2} - 2 y^{2} = 1$ is bisected at the point $(- 1, 1),$ the area bounded by the chord and the coordinate axes is ____

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Detailed Solution

$S_{1} = S_{11} \Rightarrow x + 2 y = 1$

$Δ = \frac{c^{2}}{2 |a b|} = \frac{1}{4} = 0.25$

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A chord of the hyperbola x2−2y2=1 is bisected at the point −1,1, the area bounded by the chord and the coordinate axes is ____