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

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Radius & Tangent
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What is a tangent to a circle?

A line that touches the circle once

What is the relationship between a radius and tangent at the point of tangency?

They are perpendicular

How many tangents can be drawn from a point outside the circle?

Two

What is the radius of the circle x2+y2=36x^2 + y^2 = 36?

6

For circle x2+y2=r2x^2 + y^2 = r^2 at point (x1,y1)(x_1, y_1), what is the tangent equation?

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

At how many points does a tangent touch a circle?

One

Two tangents drawn from an external point are:

Equal in length

If gradient of normal is 44, what is gradient of tangent?

−14-\frac{1}{4}

For a line to be tangent to a circle, the discriminant must be:

Zero

All radii of a circle are:

Equal in length

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