LCOL Co-Ordinate Geometry of the circle

Leaving Cert Ordinary Level Maths LCOL Co-Ordinate Geometry of the circle

LCOL The Circle

Your progress through this topic0 of 5 lessons

Lessons in this topic

All 5 lessons.

1Introduction 2Points on, inside or outside a circle 3Given the Diameter of a circle 4Equation of a tangent to a circle 5Point of Intersection of a line and a circle

Key ideas in this topic

Equation of a circle — Equation of a circle

centre (h, k), radius r

LCOL The Circle 1

Tangent ⟂ radius — Tangent ⟂ radius

At the point of contact, the tangent is perpendicular to the radius, so their slopes multiply to −1. Find the slope of the radius, then invert it and change the sign to get the tangent’s slope.

LCOL The Circle 4

Topic Content

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LCOL Co-Ordinate Geometry of the Circle 1: Introduction

LCOL Co-Ordinate Geometry of the Circle 2: Points on, inside or outside a circle

LCOL Co-Ordinate Geometry of the Circle 3: Given the Diameter of a circle

LCOL Co-Ordinate Geometry of the Circle 4 : Equation of a tangent to a circle

LCOL Co-Ordinate Geometry of the Circle 5: Point of Intersection of a line and a circle