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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Coordinate Geometry
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Find the length of latus rectum for the hyperbola $\large\frac{x^2}{36}-\frac{y^2}{16}$$=1$?

$\begin{array}{1 1}(a)\;5.33\\(b)\;6.33\\(c)\;7.33\\(d)\;8.33\end{array}$

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Length of latus rectum =$\large\frac{2b^2}{a}$
$\Rightarrow \large\frac{2\times 16}{6}$
$\Rightarrow \large\frac{32}{6}$
$\Rightarrow 5.33$
Hence (a) is the correct answer.
answered Feb 10, 2014 by sreemathi.v
edited Sep 24, 2014 by sharmaaparna1

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