Conic Sections – Circle: Equation, Centre-Radius, General Form

Grade 11 Maths Higher — Conic Sections – Circle: Equation, Centre-Radius, General Form: 25 practice questions with instant scoring and explanations.

1. The standard form equation of a circle with centre (h, k) and radius r is:
2. The general equation of a circle is:
3. For the circle x² + y² + 2gx + 2fy + c = 0, the centre is:
4. For the circle x² + y² + 2gx + 2fy + c = 0, the radius is:
5. The equation of the circle with centre (0, 0) and radius 5 is:
6. The equation of the circle with centre (2, -3) and radius 4 is:
7. The equation x² + y² + 4x - 6y - 3 = 0 represents a circle with centre:
8. For the circle x² + y² + 4x - 6y - 3 = 0, the radius is:
9. A circle passes through (1, 0) and (0, 1) with centre on x-axis. Its equation is:
10. The equation x² + y² - 4x + 6y + 4 = 0 represents:
11. If a circle touches the x-axis, then its equation can be written as:
12. The equation of the circle with centre (1, 1) passing through (4, 5) is:
13. The equation x² + y² = 0 represents:
14. For the circle x² + y² - 2x + 4y - 4 = 0, the centre and radius are:
15. The equation of a circle with diameter joining (1, 2) and (3, 4) is:
16. A circle has equation x² + y² = 16. A point (3, 2) is:
17. The equation of the circle with centre (-1, -2) and radius √5 is:
18. For what value of k does x² + y² + kx + 4y + 16 = 0 represent a point circle?
19. Two circles are concentric if they have:
20. The length of the chord of circle x² + y² = 25 cut off by the line 3x + 4y = 15 is:
21. The circle x² + y² - 4x - 6y + p = 0 has radius 2. The value of p is:
22. The equation of the circle passing through origin with centre (a, b) is:
23. If the circle x² + y² + 2gx + 2fy + c = 0 touches the x-axis, then:
24. The equations of circles with centre on x-axis and passing through origin:
25. The circle with equation x² + y² - 10x + 6y + 18 = 0 has radius: