Students can find MCQs for Class 11 Maths Chapter 10, Straight Lines, online. These questions are designed to help them score well in exams and are based on the CBSE syllabus (2024-2025) and NCERT guidelines. Each question includes clear answers and explanations for better understanding.
MCQs on Class 11 Maths Chapter 10 Straight Lines
1. What is the general equation of a straight line?
- a) ax² + bx + c = 0
- b) ax + by + c = 0
- c) y = mx + c
- d) x² + y² = r²
Answer: b) ax + by + c = 0
2. What does ‘m’ represent in the equation y = mx + c?
- a) Intercept
- b) Slope
- c) Constant
- d) None of these
Answer: b) Slope
3. The slope of a vertical line is:
- a) 0
- b) 1
- c) Undefined
- d) Infinite
Answer: c) Undefined
4. The equation of a line parallel to y = 2x + 3 is:
- a) y = 2x – 1
- b) y = -2x + 3
- c) y = 3x + 2
- d) y = x + 3
Answer: a) y = 2x – 1
5. If a line passes through (0, 0) with slope 5, its equation is:
- a) y = 5x
- b) y = x + 5
- c) y = 5x + 1
- d) y = 5
Answer: a) y = 5x
6. The x-intercept of the line 2x + 3y = 6 is:
- a) 3
- b) 2
- c) 6
- d) None of these
Answer: a) 3
7. The y-intercept of the line y = 4x – 5 is:
- a) -4
- b) -5
- c) 4
- d) 5
Answer: b) -5
8. Two lines are parallel if their slopes are:
- a) Equal
- b) Opposite
- c) Reciprocal
- d) None of these
Answer: a) Equal
9. The distance between two parallel lines ax + by + c₁ = 0 and ax + by + c₂ = 0 is:
- a) |c₁ – c₂| / √(a² + b²)
- b) |c₁ + c₂| / √(a² + b²)
- c) √(c₁² + c₂²) / (a² + b²)
- d) None of these
Answer: a) |c₁ – c₂| / √(a² + b²)
10. The slope of the line joining points (1, 2) and (3, 6) is:
- a) 2
- b) 4
- c) 3
- d) 1
Answer: a) 2
11. The equation of the line passing through (2, -1) and slope 3 is:
- a) y + 1 = 3(x – 2)
- b) y – 1 = 3(x – 2)
- c) y + 1 = -3(x – 2)
- d) y = 3x – 7
Answer: d) y = 3x – 7
12. The condition for two lines to be perpendicular is:
- a) Their slopes are equal
- b) Product of their slopes is -1
- c) Sum of their slopes is 0
- d) None of these
Answer: b) Product of their slopes is -1
13. The point where the line 2x – 3y + 6 = 0 cuts the x-axis is:
- a) (-3, 0)
- b) (3, 0)
- c) (-6, 0)
- d) (6, 0)
Answer: a) (-3, 0)
14. The point where the line 2x – 3y + 6 = 0 cuts the y-axis is:
- a) (0, -2)
- b) (0, 3)
- c) (0, -3)
- d) (0, 2)
Answer: b) (0, 2)
15. The midpoint of the line segment joining (4, 6) and (2, 8) is:
- a) (6, 14)
- b) (3, 7)
- c) (5, 7)
- d) (2, 6)
Answer: b) (3, 7)
16. The slope of a line perpendicular to the line with slope -3 is:
- a) -1/3
- b) 1/3
- c) 3
- d) None of these
Answer: b) 1/3
17. The area of the triangle formed by the points (0, 0), (4, 0), and (0, 6) is:
- a) 12
- b) 24
- c) 6
- d) 18
Answer: a) 12
18. The equation of a horizontal line passing through (3, 5) is:
- a) y = 5
- b) x = 3
- c) y = 3
- d) None of these
Answer: a) y = 5
19. The shortest distance between the point (4, 3) and the line 3x – 4y + 5 = 0 is:
- a) 5
- b) 4
- c) 3
- d) 2
Answer: d) 2
20. If two points are (0, 0) and (2, 2), the equation of the line joining them is:
- a) y = x
- b) y = 2x
- c) y = x + 2
- d) y = x – 2
Answer: a) y = x
