Straight Lines Class 11 MCQs (NCERT-Based Objective Questions)
Straight Lines Class 11 MCQs (NCERT-Based Objective Questions)
Class: CBSE Class 11 Mathematics
Subject: Mathematics
Section: Coordinate Geometry
Topic: Straight Lines
Board: CBSE Board Examinations
Subject: Mathematics
Section: Coordinate Geometry
Topic: Straight Lines
Board: CBSE Board Examinations
Instructions: These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 11 Board Examination standards. Each question includes detailed explanations for concept clarity.
1. Slope of line passing through (2,3) and (4,7):
Answer: B) 2
Explanation: m = (7−3)/(4−2) = 4/2 = 2.
Explanation: m = (7−3)/(4−2) = 4/2 = 2.
2. Equation of x-axis is:
Answer: B
Explanation: All points on x-axis have y=0.
Explanation: All points on x-axis have y=0.
3. Slope of horizontal line:
Answer: A
Explanation: y constant → slope 0.
Explanation: y constant → slope 0.
4. Slope of vertical line:
Answer: C
Explanation: Division by zero → undefined slope.
Explanation: Division by zero → undefined slope.
5. Point-slope form:
Answer: B
Explanation: Standard point-slope equation.
Explanation: Standard point-slope equation.
6. Condition for parallel lines:
Answer: A
Explanation: Equal slopes.
Explanation: Equal slopes.
7. Condition for perpendicular lines:
Answer: B
Explanation: Product of slopes = −1.
Explanation: Product of slopes = −1.
8. Intercept form:
Answer: A
Explanation: Intercepts a and b.
Explanation: Intercepts a and b.
9. Distance between parallel lines:
Answer: A
Explanation: Standard formula.
Explanation: Standard formula.
10. Angle between parallel lines:
Answer: A
Explanation: No inclination difference.
Explanation: No inclination difference.
11. General form:
Answer: A
12. Slope in y=5:
Answer: B
13. Slope in x=3:
Answer: C
14. If slope positive → line:
Answer: A
15. If slope negative → line:
Answer: B
16. Midpoint formula uses:
Answer: A
17. Line through origin:
Answer: A
18. Angle between perpendicular lines:
Answer: C
19. Slope formula:
Answer: A
20. Inclination θ relates as:
Answer: A
Explanation: Slope = tanθ.
Explanation: Slope = tanθ.