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Questions  >>  CBSE XI  >>  Math  >>  Conic Sections
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Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas : $ \large\frac{y^2}{9}-\large\frac{x^2}{27}=1$

$\begin {array} {1 1} (A)\;Foci ( 0, \pm 6), Vertices (0, \pm 3), e = 2, Length \: of \: the \: latus \: rectum : 18 \\ (B)\;Foci ( \pm 6, 0), Vertices ( \pm 3, 0), e = 2, Length \: of \: the \: latus \: rectum : 18 \\ (C)\;Foci ( 0, \pm 6), Vertices (0, \pm 3), e = 1, Length \: of \: the \: latus \: rectum : 18 \\ (D)\;Foci ( 0, \pm 6), Vertices (0, \pm 3), e = 2, Length \: of \: the \: latus \: rectum : 2 \end {array}$

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