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Let P : y 2 = 4 ax , a > 0 be a parabola with focus S . Let the tangents to the parabola P make an angle of 4 π with the line y = 3 x + 5 touch the parabola P at A and B . Then the value of a for which A , B and S are collinear is

1. 8 only
2. 2 only
3. 4 1 only
4. any a > 0

Correct answer: any a > 0

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