Questions:

1) If a chord of the parabola y²=4ax subtends a right angle at the vertex, show that the tangents at the extremeties meet on the line x+4a=0.

2) A normal at point 't₁' of the parabola y²=4ax cuts the parabola again at point 't₂' . Then prove that t₂∈(-∞,-2√(2 ])∪[2√2,∞).