In an isosceles triangle $ABC$, the coordinates of the points $B$ and $C$ on the base $BC$ are respectively $(1, 2)$ and $(2, 1)$. If the equation of the line $AB$ is $y = 2x$, then the equation of the line $AC$ is

  • A

    $y = \frac{1}{2}(x - 1)$

  • B

    $y = \frac{x}{2}$

  • C

    $y = x - 1$

  • D

    $2y = x + 3$

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  • [JEE MAIN 2016]