The locus of the point of intersection of the lines \( \mathrm{P}^{...

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The locus of the point of intersection of the lines
\( \mathrm{P}^{16} \) \( b x t-a y t=a b \) and \( b x+a y=a b t \) is

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(1) A parabola
(2) An ellipse
(3) A hyperbola
(4) None of these
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