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Angle Between the Curves

Angle between two intersecting curves is defined as the acute angle between their tangents or the normals at the point of intersection of two curves.
tan θ = 91277.png
where m1 and m2 are the slopes of tangents at the intersection point (x1, y1).


  • The curves must intersect for the angle between them to be defined. This can be ensured by finding their point of intersection or graphically.
  • If the curves intersect at more than one point then angle between curves is written with references to the point of intersection.
  • Two curves are said to be orthogonal if the angle between them at each point of intersection is right angle, i.e., m1 m2 = –1.

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