Tangents & Touching Circles (Leaving Cert Mathematics): Quizzes

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Touching Circles
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10 questions from this quiz

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At how many points do two touching circles intersect?

Exactly one point

What is the point where two touching circles intersect called?

Point of contact

In externally touching circles, where are the centres relative to the shared tangent?

On opposite sides of the tangent

In internally touching circles, where is the smaller circle positioned?

Inside the larger circle

The centres of two touching circles and their point of contact are always what?

Collinear

For externally touching circles, ∣C1C2∣|C_1C_2| equals what?

r1+r2r_1 + r_2

For internally touching circles, ∣C1C2∣|C_1C_2| equals what?

∣r1−r2∣|r_1 - r_2|

What is the centre of the circle (x−2)2+(y−3)2=16(x-2)^2 + (y-3)^2 = 16?

(2,3)(2, 3)

What is the radius of the circle (x−6)2+(y−3)2=9(x-6)^2 + (y-3)^2 = 9?

33

Circles with centres (2,3)(2,3) and (6,3)(6,3), radii 44 and 33: do they touch externally?

No, ∣C1C2∣≠r1+r2|C_1C_2| \neq r_1 + r_2

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