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The line y = x - 2 cuts the parabola y^2...

The line `y = x - 2` cuts the parabola `y^2 = 8x` in the points A and B. The normals drawn to the parabola at A and B intersect at G. A line passing through G intersects the parabola at right angles at the point C, and the tangents at A and B intersect at point T.

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