Conic Sections
Conic Section
Allen Star Batch
Grade 11

Question:

MATCH THE FOLLOWING:

Step-by-Step Solution

Key Concept: The directrix of a parabola has the property that exactly one normal to the parabola can be drawn from any point on it.
Points $(-1, 2)$ and $(-1, -5)$ lie on the directrix of parabola $y^2 = 4x$. From a point on the directrix, only one normal to the parabola can be drawn, since the directrix is perpendicular to the axis and the parabola is symmetric about its axis. This means at most one normal passes through any single point on the directrix.
Correct Answer: [A-p, r] [B-p, q, r] [C-q] [D-q, s]

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