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Angle between the parabolas y^2 = 4(x -...

Angle between the parabolas `y^2 = 4(x - 1) and x^2 + 4(y - 3) = 0` at the common end of their locus rectum, is - (A) `tan^-1(1)` (B) `tan^-1(1)+cot^-1(2)+cot^-1(3)` (C) `tan^-1(sqrt3)` (D) `tan^-1(2)+tan^-1(3)`

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