Comparing the given equation x2=−kyx^2=-kyx2=−ky of parabola with standard equation x2=−4ayx^2=-4ayx2=−4ay , we obtain k=4ak=4ak=4a
⟹ a=k/4\implies a = k/4⟹a=k/4
Focus of standard parabola is (0,−a)(0,-a)(0,−a)
So, for the given parabola, focus is (0,−k4)(0,-\frac{k}{4})(0,−4k)
Equation of latus rectum is given by y=−ay=-ay=−a
Hence for the given parabola, equation of latus rectum is, y=−k4y=-\frac{k}{4}y=−4k
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