Let the curve C be the mirror image of the parabola with respect to the line
. If A and B are the points of intersection of C with the line
, then the distance between A and B is :
12
16
10
14
Consider the image of the line in the line
.
To find the image line put the value of y in the equation
The image will be the line .
Find intersection point of line and
put in
.
we get
So the line will intersect the parabola
at the points
and
.
Let the mirror image of these points in the line are points A and B.
The distance between AB and its pre-image is the same.
Find distance between and
using the distance formula.
Distance between A and B is 16 units.
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