Maths-
General
Easy

Question

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

  1. 30°    
  2. 45°    
  3. 60°    
  4. 90°    

The correct answer is: 60°


    y2 = 4x; any tangent to parabola
    y = mx +fraction numerator 1 over denominator m end fraction (for a = 1)
    It passes through (1, 4) so m2 – 4m + 1 = 0
    rightwards double arrow tan θ = fraction numerator m subscript 1 end subscript minus m subscript 2 end subscript over denominator 1 plus m subscript 1 end subscript m subscript 2 end subscript end fraction= fraction numerator square root of 16 minus 4 end root over denominator 1 plus 1 end fraction= square root of 3rightwards double arrowθ = 60°

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