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Grade 10Analytical Geometry

The locus of the mid point of the focal radii of a variable point moving on the parabola,

y2 = 4ax is a parabola whose

(a) Latus rectum is half the latus rectum of the original parabola

(b) Vertex is (a/2, 0)

(c) Directrix is y-axis

(d) Focus has the co-ordinates (a, 0)

Profile image of Hrishant Goswami
12 Years agoGrade 10
Answers icon

1 Answer

Profile image of Amit Saxena
12 Years ago

Focus is x – a/2 = a/2                      i.e.       x = a

 

            i.e.       (a, 0)

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