Lesson A16
A16 Equation of a circle and tangents to circles Quiz: AQA Maths, Unit 2
20 questions
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Lesson A16, Equation of a circle and tangents to circles: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 2: Algebra, written with Revision Ninja.
Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.
The 20 questions
-
(H) What is the radius of the circle x^2 + y^2 = 81?
- 81
- 40.5
- 9
- 18
-
(H) What is the equation of a circle with centre at the origin and radius 5?
- x^2 + y^2 = 5
- x^2 + y^2 = 25
- x^2 + y^2 = 10
- x + y = 25
-
(H) Does the point (3, 4) lie on the circle x^2 + y^2 = 25?
- No, since 9 + 16 = 24
- Yes, since 3 + 4 = 25
- No, since 3 x 4 = 25
- Yes, since 9 + 16 = 25
-
(H) What is the radius of the circle x^2 + y^2 = 49?
- 49
- 2401
- 24.5
- 7
-
(H) What is the equation of the circle with centre (0, 0) and radius 3?
- x^2 + y^2 = 9
- x^2 - y^2 = 9
- x^2 + y^2 = 3
- x + y = 9
-
What line is perpendicular to a tangent at its point of contact with a circle?
- Arc
- Chord
- Radius
- Secant
-
(H) What is the gradient of the radius from the centre (0, 0) to the point (3, 4)?
- 7
- -3/4
- 4/3
- 3/4
-
(H) What is the gradient of the tangent to x^2 + y^2 = 25 at (3, 4)?
- -3/4
- 3/4
- 4/3
- -4/3
-
(H) What is the equation of the tangent to x^2 + y^2 = 25 at (3, 4)?
- 3x + 4y = 25
- 4x + 3y = 25
- 3x - 4y = 25
- 3x + 4y = 12
-
What is the radius of the circle with equation x^2 + y^2 = 10?
- 10
- √10
- 5
- 100
-
(H) Which point lies on the circle x^2 + y^2 = 100?
- (5, 5)
- (6, 8)
- (8, 8)
- (6, 7)
-
Is the point (2, 2) inside, outside, or on the circle x^2 + y^2 = 25?
- Inside
- Outside
- At the origin
- On the circle
-
(H) A circle with centre (0, 0) passes through (0, -6). What is its equation?
- x^2 + y^2 = 36
- x^2 + y^2 = 6
- x^2 + y^2 = -36
- x + y = 36
-
(H) What is the equation of the tangent to x^2 + y^2 = 25 at (5, 0)?
- y = 5
- x = 5
- x = 0
- y = 0
-
(H) What is the equation of the tangent to x^2 + y^2 = 25 at (0, 5)?
- y = 5
- y = 0
- x = -5
- x = 5
-
(H) Which point lies on the circle x^2 + y^2 = 13?
- (2, 2)
- (1, 4)
- (2, 3)
- (3, 3)
-
(H) What is the diameter of the circle x^2 + y^2 = 16?
- 16
- 4
- 8
- 32
-
(H) Which is the equation of a circle with centre (0, 0) and radius 1?
- x^2 + y^2 = 2
- x^2 - y^2 = 1
- x + y = 1
- x^2 + y^2 = 1
-
(H) What is the gradient of the tangent to x^2 + y^2 = 25 at (-3, 4)?
- 3/4
- -3/4
- -4/3
- 4/3
-
How many intersection points are there between y = 5 and x^2 + y^2 = 25?
- 2
- 0
- 5
- 1
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