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Find the co-ordinates of the foci and th...

Find the co-ordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbola `y^(2) - 25x^(2) = 25`.

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The correct Answer is:
Co-ordinates of the foci and vertices are `(0 pm sqrt(26))` and `(0 pm 5)` repectively.
`e = (sqrt(26))/(5)` and length of the latus rectum ` = (2)/(5)`
( Hint : Compare with the equation `(y^(2))/(a^(2))-(x^(2))/(b^(2)) =1`)
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