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Parabola

On a graph of $$y=x^2$$, two lines are drawn at $$x=a$$ and $$x=-b$$ (for $$a,b>0$$. The points where these lines intersect the parabola are connected.
What is the y-coordinate of the point where this line intersects the y-axis?
If you enjoyed this puzzle, check out Sunday Afternoon Maths XVIII,
puzzles about parabolas, or a random puzzle.