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Question

Angle between tangents drawn from (1, 4) to parabola y2 = 4x is

  1. pi/2    
  2. pi/3    
  3. pi/6    
  4. pi/4    

The correct answer is: pi/3


    To find angle between tangents.
    The equation of the tangent is y = mx + 1/m.
    It passes through the point (1, 4).
    m squared minus 4 m plus 1 equals 0
    m1 + m2 = 4, m1m2 = 1
    |m1 – m2| = 2square root of 3
    tan θ = 2square root of 3 / 2 = square root of 3
    θ = pi/3

    Therefore, the angle between tangents is pi/3

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