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The locus of the mid point of the focal radii of a variable point moving on the parabola, y 2 = 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)



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)


Grade:10

1 Answers

Amit Saxena
35 Points
7 years ago

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

 

            i.e.       (a, 0)

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