Points Inside, Outside or On a Circle (Leaving Cert Mathematics): Quizzes

📚Quizzes
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
Points Inside, Outside or On a Circle
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

9 questions from this quiz

Show

When does a point P(x,y)P(x, y) lie ON a circle with equation (x−h)2+(y−k)2=r2(x - h)^2 + (y - k)^2 = r^2?

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

What condition indicates a point lies INSIDE a circle (x−h)2+(y−k)2=r2(x - h)^2 + (y - k)^2 = r^2?

(x−h)2+(y−k)2<r2(x - h)^2 + (y - k)^2 < r^2

When does a point lie OUTSIDE a circle (x−h)2+(y−k)2=r2(x - h)^2 + (y - k)^2 = r^2?

When (x−h)2+(y−k)2>r2(x - h)^2 + (y - k)^2 > r^2

Where is point (2,1)(2, 1) relative to circle (x−1)2+(y−2)2=4(x - 1)^2 + (y - 2)^2 = 4?

Inside the circle

Is point (5,5)(5, 5) outside the circle x2+y2=16x^2 + y^2 = 16?

Yes, because 52+52=50>165^2 + 5^2 = 50 > 16

Does point (−3,4)(-3, 4) lie on the circle x2+y2=25x^2 + y^2 = 25?

Yes, because (−3)2+42=25(-3)^2 + 4^2 = 25

After substituting (2,1)(2, 1) into (x−1)2+(y−2)2=4(x - 1)^2 + (y - 2)^2 = 4, what is the result?

22

What is the first step to determine a point's position relative to a circle?

Substitute coords into the circle equation

If (x−h)2+(y−k)2=10(x - h)^2 + (y - k)^2 = 10 and r2=25r^2 = 25, where is point (x,y)(x, y)?

Inside the circle

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

Join 100,000+ Leaving Cert students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.