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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 : $49y^2 – 16x^2 = 784$

$\begin {array} {1 1} (A)\;Foci : (\pm \sqrt{65}, 0), Vertices : (\pm 4, 0), e = \sqrt{65} / 4, Length \: of \: the \: latus \: rectum : 49 / 2 \\ (B)\;Foci : (0, \pm \sqrt{65}), Vertices : (0, \pm 4), e = \sqrt{65} / 4, Length \: of \: the \: latus \: rectum : 49 / 2 \\ (C)\;Foci : ( \sqrt{65}, 0), Vertices : ( 4, 0), e = \sqrt{65} / 4, Length \: of \: the \: latus \: rectum : 49 / 2 \\ (D)\;Foci : (0, - \sqrt{65}), Vertices : (0, - 4), e = \sqrt{65} / 4, Length \: of \: the \: latus \: rectum : 49 / 2 \end {array}$

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