Area of the quadrilaterals formed by drawing tangents at the ends of latus recta of $\frac{{{x^2}}}{4} + \frac{{{y^2}}}{1} = 1$ is

  • A

    $\frac{{16}}{{\sqrt 3 }}$

  • B

    $\frac{{8}}{{\sqrt 3 }}$

  • C

    $\frac{{4}}{{\sqrt 3 }}$

  • D

    $4\sqrt 3 $

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  • [JEE MAIN 2020]

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