Radius & Tangent (AQA A-Level Mathematics): Flashcards

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Radius & Tangent
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Definition: tangent to a circle

A line that just touches the circle but does not cut it

Definition: normal to a circle

Line at right angles to a tangent

Radius & tangent relationship at contact point

Perpendicular

How many points does a tangent touch a circle?

One point (the point of tangency)

Tangent eqn: x2+y2=r2x^2 + y^2 = r^2 at (x1,y1)(x_1, y_1)

x1x+y1y=r2x_1 x + y_1 y = r^2

Radius in (x−h)2+(y−k)2=r2(x - h)^2 + (y - k)^2 = r^2

rr

Tangents from external point to circle

Two tangents, equal in length

Gradient: tangent vs radius

Negative reciprocal

Discriminant for line to be tangent

Zero (Delta=0Delta = 0, one solution)

Property: all radii of a circle

Equal in length

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Equation of a Straight Line

Circles

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Equation of a Straight Line

Circles

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Equation of a Straight Line

Circles

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Equation of a Straight Line

Circles

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