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

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Radius & Tangent
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What is a tangent to a circle?

A line that just touches but does not cut

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

They are perpendicular to each other

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

66

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

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

How many tangents of equal length can be drawn from a point outside a circle?

Two

What is true about all radii of the same circle?

All radii are equal in length

At how many points does a tangent touch the circle?

Exactly one point

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

−14-\frac{1}{4}

For a line to be tangent to a circle, what must the discriminant equal?

Zero

For circle x2+y2=36x^2 + y^2 = 36 at point (6,0)(6, 0), what is the tangent equation?

x=6x = 6

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