Discussion
Assertion: the four conics can all be drawn by the eccentricity method. Reason: each is the locus of a point whose distances from a focus and a directrix bear a constant ratio.
Answer: C
Correct answer: both the assertion and the reason are true and the reason explains the assertion
Both are true and the reason is why the method is general. The focus-directrix definition characterises all four conics, differing only in the value of the ratio, so one construction serves them all: fix the focus, the directrix and the eccentricity, and the same steps produce a circle, an ellipse, a parabola or a hyperbola as the value dictates.
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