Straight Lines – Normal Form, Distance, Angle Between Lines, Concurrent Lines

Grade 11 Maths Higher — Straight Lines – Normal Form, Distance, Angle Between Lines, Concurrent Lines: 25 practice questions with instant scoring and explanations.

1. The normal form of a line is:
2. The distance from a point (x₀, y₀) to the line ax + by + c = 0 is:
3. The distance from (3, 4) to the line 3x + 4y - 25 = 0 is:
4. The distance between parallel lines y = mx + c₁ and y = mx + c₂ is:
5. The angle between lines y = 2x + 3 and y = -x + 5 is:
6. If lines l₁, l₂, l₃ are concurrent, then they:
7. The condition for three lines a₁x + b₁y + c₁ = 0, a₂x + b₂y + c₂ = 0, a₃x + b₃y + c₃ = 0 to be concurrent is:
8. The distance from origin to the line 3x + 4y - 25 = 0 is:
9. The foot of perpendicular from (1, 2) to the line x + y = 5 is:
10. The distance between lines 2x + 3y + 7 = 0 and 2x + 3y - 5 = 0 is:
11. Two lines with slopes m₁ and m₂ are perpendicular if:
12. The angle between x-axis and the line joining origin to (1, √3) is:
13. The reflection of point (2, 3) across the line x = 0 is:
14. The length of perpendicular from (0, 0) to 5x + 12y = 26 is:
15. For the lines x + 2y + 3 = 0 and 2x + 4y + 5 = 0, they are:
16. The equation of the perpendicular bisector of the segment joining (1, 0) and (3, 0) is:
17. If lines l₁: a₁x + b₁y + c₁ = 0 and l₂: a₂x + b₂y + c₂ = 0 are perpendicular, then:
18. The angle of inclination of the line 2x - 2√3y + 3 = 0 is:
19. Lines are coincident if:
20. The distance of the line 4x + 3y - 10 = 0 from the origin is:
21. The equation of the line equidistant from (1, 0) and (3, 0) is:
22. For concurrent lines, the point of concurrency is found by:
23. The angle between lines making angles 45° and 120° with x-axis is:
24. The reflection of point (3, 4) in the line y = x is:
25. The length of perpendicular from (1, 1) to the line 5x + 12y - 9 = 0 is: