If the lines $x + q = 0$,$y - 2 = 0$,and $3x + 2y + 5 = 0$ are concurrent,then the value of $q$ is:

  • A
    $1$
  • B
    $2$
  • C
    $3$
  • D
    $5$

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Let $C$ be the centroid of the triangle with vertices $(3, -1), (1, 3),$ and $(2, 4).$ Let $P$ be the point of intersection of the lines $x + 3y - 1 = 0$ and $3x - y + 1 = 0.$ Then the line passing through the points $C$ and $P$ also passes through the point

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