A parabola is drawn on the plane. Build its axis of symmetry with the help of a compass (drawing tool) and a ruler.?

1 Answer
Nov 12, 2016

Please see below.

Explanation:

Draw two parallel chords #a# and #b# of the given parabola.

Join their mid points so as to get the line #m#. Note that this line joining the mid points is parallel to axis of symmetry.

Now draw another line #n# perpendicular to #m# and cutting parabola in two point and find the midpoint of the segment intercepted by it.

Draw a line #A#, parallel to #m# through midpoint of the segment. This is the Axis of Symmetry of the parabola.

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