Points and Circles (Leaving Cert Mathematics): Quizzes

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Points and Circles
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12 questions from this quiz

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How many positions can a point occupy relative to a circle?

Three positions

When is a point inside a circle?

Distance from centre < radius

When does a point lie on a circle?

Distance from centre = radius

When is a point outside a circle?

Distance from centre > radius

What is the distance formula between points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2)?

d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

What is the standard form of a circle equation centered at the origin?

x2+y2=r2x^2 + y^2 = r^2

If a circle has equation x2+y2=25x^2 + y^2 = 25, what is the radius?

r=5r = 5

Using the substitution method, when is a point inside the circle x2+y2=r2x^2 + y^2 = r^2?

When x2+y2<r2x^2 + y^2 < r^2

Using substitution, when is a point outside the circle x2+y2=r2x^2 + y^2 = r^2?

When x2+y2>r2x^2 + y^2 > r^2

For circle x2+y2=13x^2 + y^2 = 13, what is the position of point (1,−3)(1, -3)?

Inside the circle

For circle x2+y2=16x^2 + y^2 = 16, what is the position of point (−3,4)(-3, 4)?

Outside the circle

Which method is usually faster for circles centered at the origin?

Substitution method

Explore Leaving Cert Mathematics Revision Notes by Topics

The Circle

The Basics

Points Inside, Outside or On a Circle

Intersection of a Line and a Circle

Tangents & Touching Circles

Problems in g, f and c

Explore Leaving Cert Mathematics Model Answers by Topics

The Circle

The Basics

Points Inside, Outside or On a Circle

Intersection of a Line and a Circle

Tangents & Touching Circles

Problems in g, f and c

Explore Leaving Cert Mathematics Flashcards by Topics

The Circle

The Basics

Points Inside, Outside or On a Circle

Intersection of a Line and a Circle

Tangents & Touching Circles

Problems in g, f and c

Explore Leaving Cert Mathematics Exam Questions by Topics

The Circle

The Basics

Points Inside, Outside or On a Circle

Intersection of a Line and a Circle

Tangents & Touching Circles

Problems in g, f and c

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