A level further mathematics question animated. Mid point of Normal x-intercept and Tangent y-intercept traces out another curve as original point moves round an ellipse.
Tag: coordinate geometry
Hyperbola – Focus Directrix
Hyperbola – locus of points in which ratio of distance from a focus point to the perpendicular distance to a line (directrix) is constant and greater than 1. Staple diet of school Further Mathematics.
This method for finding the centre, and by extension the equation, of a circle given three non-colinear points, brings the ancient textbook master Euclid onto Descartes’ coordinate plane and right into the 21 century classroom.
Summary of parabola facts, worthy of Victorian text book, attempts to exhaust obvious question contexts in Further Pure and STEP. Prove them!