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If a line x+ y =1 cut the parabola y^2 =...

If a line `x+ y =1` cut the parabola `y^2 = 4ax` in points A and B and normals drawn at A and B meet at C. The normals to the parabola from C other than above two meets the parabola in D, then point D is : (A) `(a,a)` (B) `(2a,2a)` (C) `(3a,3a)` (D) `(4a,4a)`

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