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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 : $9y^2–4x^2= 36$

$\begin {array} {1 1} (A)\;Foci : (0, \pm \sqrt {13}/2 ), Vertices : (0, \pm 2), e = \sqrt{13} / 4, Length \: of \: the \: latus \: rectum : 9 \\ (B)\;Foci : ( \pm \sqrt {13}/2, 0 ), Vertices : ( \pm 2, 0), e = \sqrt{13} / 4, Length \: of \: the \: latus \: rectum : 9 \\ (C)\;Foci : (0, \pm \sqrt {13} ), Vertices : (0, \pm 2), e = \sqrt{13} / 4, Length \: of \: the \: latus \: rectum : 9 \\ (D)\;Foci : ( \pm \sqrt {13}, 0 ), Vertices : (0, \pm 2), e = \sqrt{13}/ 4, Length \: of \: the \: latus \: rectum : 9 \end {array}$

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