Tangent to curve y = k/x

Author:Richard Wade

The tangent to the curve y = k/x is shown at the point x = a. The tangent intersects the x and y axis to form a triangle. Find the area of the triangle and show that it is independent of a.

New Resources

Perpendicular Lines: Quick Exploration
Segment Addition Postulate (Mild Questions)
Function art 3D - waiting shed
Linear Combination of Vectors
Midpoint Theorem (V2): Integer Solutions

Discover Resources

Tyra Kinney Lesson 4-1
triangle angle sum theory
Height Obscured by Horizon
Plotting a gradient function
LTFMReflection00

Discover Topics

Translation
Solids or 3D Shapes
Definite Integral
Parametric Curves
Trigonometric Functions