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Course: Applied Mathematics — Second Secondary
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Curriculum

Applied Mathematics — Second Secondary

Unit 1: Statics

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Unit 2: Solid and Analytic Geometry

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Quiz

Equation of a Circle — Lesson quiz

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  • Questions count: 6
  • Passing grade: 60%
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1.
Write the equation of the circle with centre at the origin and radius 5.
x² + y² = 5
x² + y² = 25
x + y = 25
(x − 5)² + y² = 25
2.
Find the centre and radius of the circle x² + y² − 6x + 4y − 12 = 0.
Centre (−3, 2), radius 5
Centre (3, −2), radius √12
Centre (3, −2), radius 5
Centre (−6, 4), radius 12
3.
Does the point (3, 4) lie on the circle x² + y² = 25?
Yes, because 9 + 16 = 25
No, because 3 + 4 = 7
Yes, because 3 + 4 = 7
No, because 9 − 16 = −7
4.
Is the point (1, 1) inside or outside the circle x² + y² = 25?
Outside, because 1 + 1 = 2 > 0
On the circle, because 1 + 1 = 2
Inside, because 1 + 1 = 2 < 25
Outside, because 1 + 1 = 2 < 25
5.
Find the equation of the circle with centre (4, 0) and radius 3.
(x + 4)² + y² = 9
(x − 4)² + y² = 3
(x − 4)² + y² = 6
(x − 4)² + y² = 9
6.
What condition must the general equation satisfy to represent a real circle?
g² + f² − c > 0
g² + f² + c > 0
g + f − c > 0
g² − f² − c > 0
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