XII Maths Chapter 6. Application of Derivatives | Page 4

Angle of Intersection of Two Curves
Let y = f1 ( x ) and y = f2 ( x ) be the two curves , meeting at some point P ( x1 ,
y1 ), then the angle between the two curves at P ( x1 , y1 ) = The angle between the tangents to the curves at P ( x1 , y1 )
The other angle between the tangents is ( 180 — θ ). Generally , the smaller of these two angles is taken to be the angle of intersection . ∴ The angle of intersection of two curves θ is given by