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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 : $ 16x^2-9y^2=576$

$\begin {array} {1 1} (A)\;Foci ( \pm 10, 0), Vertices (\pm 6, 0), e = 5/3, Length \: of \: the \: latus \: rectum = 64/3 \\ (B)\;Foci ( 0, \pm 10), Vertices (0, \pm 6), e = 5/3, Length \: of \: the \: latus \: rectum = 64/3 \\ (C)\;Foci ( \pm 5, 0), Vertices (\pm 6, 0), e = 5/3, Length \: of \: the \: latus \: rectum = 64/3 \\ (D)\;Foci (0, \pm 5), Vertices (0, \pm 6), e = 5/3, Length \: of \: the \: latus \: rectum = 64/3 \end {array}$

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