Straight Lines – Distance, Angle Between Lines, Families of Lines

Grade 11 Maths — Straight Lines – Distance, Angle Between Lines, Families of Lines: 25 practice questions with instant scoring and explanations.

1. Distance between points (1, 2) and (4, 6) is:
2. The distance formula between (x₁, y₁) and (x₂, y₂) is:
3. Distance from point (3, 4) to origin is:
4. The perpendicular distance from point (x₁, y₁) to line ax + by + c = 0 is:
5. Distance from point (1, 2) to line 3x + 4y - 5 = 0 is:
6. The angle θ between two lines with slopes m₁ and m₂ is given by:
7. The angle between lines y = 2x + 1 and y = x - 2 is:
8. Distance between parallel lines 2x + 3y + 5 = 0 and 2x + 3y - 7 = 0 is:
9. A family of lines passing through the intersection of L₁ and L₂ is:
10. Lines passing through intersection of x + y = 3 and 2x - y = 0 are:
11. Distance from (2, 0) to line x + 2y - 5 = 0 is:
12. The angle between x-axis and line y = x is:
13. Two lines 2x + y = 5 and 4x + 2y = 10 are:
14. Distance between parallel lines y = 2x + 3 and y = 2x - 1 is:
15. If two lines are perpendicular and one has slope 3, the other has slope:
16. The perpendicular distance from origin to line 3x + 4y = 25 is:
17. Distance from (0, 0) to line x/3 + y/4 = 1 is:
18. The foot of perpendicular from (1, 3) to line 2x + 3y = 13 is:
19. Lines x - 2y = 0 and 2x + y = 0 are:
20. Reflection of point (1, 2) across line x = 0 is:
21. The distance of line 5x + 12y = 26 from origin is:
22. If angle between two lines is 45° and one slope is 2, the other is:
23. Distance from (2, 3) to line 4x + 3y - 9 = 0 is:
24. Family of lines passing through (2, 3) are:
25. The angle between lines 3x + 4y = 5 and 4x - 3y = 6 is: