1.

The line x – 1 = 0 is the directrix of a parabola, y2 = kx then1. Find the value of k.2. Find the vertex, focus, axis of parabola and length of latus rectum of the parabola.

Answer»

1. Given directrix x – 1 = 0, so a = 1, then the equation of the parabola is

y2 = -4ax 

⇒ y2 = -4x

Hence k = – 4

2. Vertex is (0, 0)

Focus of SS’ = (-1, 0)

Length of latus rectum = 4 × 1 = 4.



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