For the variable $t$,the locus of the point of intersection of the lines $3tx - 2y + 6t = 0$ and $3x + 2ty - 6 = 0$ is

  • A
    the ellipse $\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1$
  • B
    the ellipse $\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$
  • C
    the hyperbola $\frac{x^{2}}{4} - \frac{y^{2}}{9} = 1$
  • D
    the hyperbola $\frac{x^{2}}{9} - \frac{y^{2}}{4} = 1$

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