Determine the coordinates of the point of intersection of the two perpendicular lines that intersect on the y-axis and are both tangent to the parabola given below:
When I sketch this out, I can see visually that this point of intersection cannot occur at a positive y-value. Other things that are quickly apparent:
The point of intersection must have an x-coordinate of 0.
So, if I use the formula of a line, and plug in an x-coordinate of 0, I get:
And I conclude that my point of intersection is (0,0). All fine and dandy, except that this isn't the right answer. Can anybody help?