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Equations of Tangents to Circles WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Equations of circles, equations of perpendicular lines.
Equations of Tangents to Circles WORKSHEET DESCRIPTION
This worksheet will help learners practise finding equations of lines which are tangent to a circle.
Section A gives two circles and asks learners to find the gradient of the radii and tangents at two given points.
Section B then gives a circle equation and a point on the circle for the tangent equation to be found.
Section C gives either the x or y value and whether the other value is positive or negative.
Section D then asks for the points where the tangent at a point on a circle would intercept the coordinate axes.
An extension question asks for the area of a triangle formed by the xy-axes, a circle with a given centre and a tangent at a given point.
