Higher: The Circle Basics
- 1. Give the coordinate f the centre of the circle with equation x2 + y2 = 30
A) (3,2)
B) (-3,0)
C) (0,0)
D) (-5,-4)
- 2. Give the coordinate f the centre of the circle with equation (x + 7)2 + (y + 3)2 = 45
A) (7,3)
B) (-7,3)
C) (7,-3)
D) (-7,-3)
- 3. Give the coordinate f the centre of the circle with equation (x - 2)2 + (y - 10)2 = 17
A) (2,10)
B) (-2,10)
C) (1,5)
D) (-1,-5)
- 4. Calculate the radius of the circle with equation (x + 2)2 + (y - 7)2 = 121
A) 15
B) 121
C) 11
D) 12
- 5. Calculate the radius of the circle with equation (x - 5)2 + (y - 1)2 = 17
A) √17
B) 17
C) √13
D) 7
- 6. A circle with its centre at (1,1) and with a radius of 5 has the equation:
A) (x + 1)2 + (y + 1)2 = 25
B) (x - 1)2 + (y - 1)2 = 5
C) (x - 1)2 - (y - 1)2 = 25
D) (x - 1)2 + (y - 1)2 = 25
- 7. Calculate the radius of the circle with equation x2 - 8x + y2 + 2y + 8 = 0
A) √12
B) 3
C) √3
D) 4
- 8. Give the coordinate f the centre of the circle with equation x2 - 8x + y2 + 2y + 8 = 0
A) (-8, 2)
B) (-4,1)
C) (4,-1)
D) (8,-2)
- 9. A circle with its centre at (0,0) and with a radius of 9 has the equation:
A) x2 + y2 = 64
B) x2 + y2 = 9
C) x2 + y2 = 81
D) x2 - y2 = 81
- 10. A circle with its centre at (0,-8) and with a radius of 11 has the equation:
A) x2 + (y + 8)2 = 121
B) (x + 8)2 + (y - 8)2 = 121
C) x2 + y2 =121
D) x2 + y2 + 16y - 11 = 0
|