Angle of Intersection between Two Curves - Practice Questions & MCQ

Angle of Intersection of Two Curves

Let y = f (x) and y = g (x) be two curves intersecting at a point P(x₀, y₀) . Then the angle of intersection of two curves is defined as the angle between the tangent to the two curves at the point of intersection.

Let PT₁ and PT₂ be tangents to the curve  y = f (x) and y = g (x) at their point of intersection.

Let Θ be the angle between two tangents  PT₁ and PT₂,  Θ₁ and Θ₂ are angles made by tangents PT₁ and PT₂ with the positive direction of x-axis, then

Orthogonal Curves

If the angle of the intersection of two curves is a right angle then two curves are called orthogonal curves.

Condition for two curves to touch each other