• Choice G

    x29y249=1\frac{x^2}{9} - \frac{y^2}{49} = 1

    This is a hyperbola centered at the origin with a2=9a^2 = 9 and b2=49b^2 = 49.

    The xx-intercepts occur when y=0y = 0: x29=1x=±3\frac{x^2}{9} = 1 \Rightarrow x = \pm 3

    Only (3,0)(3,0) and (3,0)(-3,0) are intercepts. The answer among the choices is (3,0)(3,0).

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