Conic Sections – Circle (Standard & General Form)

Grade 11 Maths — Conic Sections – Circle (Standard & General Form): 25 practice questions with instant scoring and explanations.

1. The standard form of circle with center (h, k) and radius r is:
2. The general form of circle is:
3. A circle with center (0, 0) and radius 5 has equation:
4. A circle with center (2, 3) and radius 4 has equation:
5. The center and radius of x² + y² - 4x + 6y - 3 = 0 are:
6. The center of circle x² + y² + 2gx + 2fy + c = 0 is:
7. The radius of circle x² + y² + 2gx + 2fy + c = 0 is:
8. Is (1, 2) inside, on, or outside the circle x² + y² = 4?
9. Is (1, 1) inside, on, or outside the circle x² + y² = 4?
10. Equation of circle with diameter endpoints (1, 2) and (3, 4) is:
11. The equation x² + y² - 2x - 4y + 1 = 0 represents a circle with radius:
12. A circle passing through (0, 0), (0, 3), (4, 0) has center:
13. The point (2, 2) is on the circle x² + y² - 2x - 2y + c = 0. Value of c is:
14. Number of circles passing through two given points:
15. Number of circles passing through three non-collinear points:
16. The line x + y = 5 is tangent to circle x² + y² = 13. True/False?
17. The line 3x + 4y = 25 is tangent to circle x² + y² = 25. Distance from center to line is:
18. The chord of circle x² + y² = 25 by line x = 3 has length:
19. The equation 2x² + 2y² - 4x + 6y - 8 = 0 represents:
20. The circle (x - 1)² + (y + 2)² = 9 intersects the y-axis at:
21. Family of circles passing through intersection of x² + y² - 4 = 0 and x² + y² - 2x - 3 = 0 is:
22. Equation of circle with center (2, -1) passing through (2, 3) is:
23. Distance between centers of x² + y² = 4 and (x - 3)² + (y - 4)² = 9 is:
24. The circles x² + y² = 1 and x² + y² - 2x = 0 intersect at:
25. Equation of circle with center on x-axis, passing through (2, 3) and (1, -4):