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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Coordinate Geometry
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Length of latus rectum is one third of major axis:

$\begin{array}{1 1}(A)\;\frac{2}{3} \\(B)\;\sqrt{\frac{2}{3}} \\(C)\;5 \times 4 \times (\frac{3}{7})^3 \\(D)\;(\frac{3}{4})^4 \end{array}$

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1 Answer

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$\large\frac{2b^2}{a}=\frac{1}{3}$$.2a$
$\large\frac{b^2}{a^2}=\frac{1}{3}$
$e^2=1- \large\frac{b^2}{a^2}$
$\quad= 1- \large\frac{1}{3}$
$\quad= \large\frac{2}{3}$
Hence a is the correct answer.
answered Apr 10, 2014 by meena.p
 

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