The locus of the point of intersection of the | vedclass

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(C) The equation of the parabola is $x^{2}=-8y$. Comparing this with $x^{2}=4ay$,we get $4a=-8$,so $a=-2$. The focus of the parabola is $(0, a) = (0,

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$y=2$

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(C) The equation of the parabola is $x^{2}=-8y$. Comparing this with $x^{2}=4ay$,we get $4a=-8$,so $a=-2$. The focus of the parabola is $(0, a) = (0, -2)$.Let the ends of a focal chord be $P(x_1, y_1)$ and $P'(x_2, y_2)$. The tangents at the ends of a focal chord of a parabola intersect at the directrix.The directrix of the parabola $x^{2}=4ay$ is $y=-a$.Here,$a=-2$,so the directrix is $y=-(-2) = 2$.Therefore,the locus of the point of intersection of the tangents is the line $y=2$.

The locus of the point of intersection of the tangents drawn at the ends of a focal chord of the parabola $x^{2}=-8y$ is

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