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The length of the straight line x-3y=1 i...

The length of the straight line `x-3y=1` intercepted by the hyperbola `x^2-4y^2=1` is a.`6/(sqrt(5))` b. `3sqrt(2/5)` c. `6sqrt(2/5)` d. none of these

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` (1+3 y)^{2}-4 y^{2}=1 `
`Rightarrow 1+6 y+9 y^{2}-4 y^{2}=1 `
`Rightarrow 5 y^{2}+6 y=0`
`Rightarrow y=0 or y=-frac{6}{5}` ...
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