Slope, Intercepts & Line Equations MCQs Class 11
Slope, Intercepts & Line Equations MCQs Class 11
Class: CBSE Class 11 Mathematics
Subject: Mathematics
Section: Coordinate Geometry
Topic: Slope, Intercepts & Line Equations
Board: CBSE Board Examinations
Subject: Mathematics
Section: Coordinate Geometry
Topic: Slope, Intercepts & Line Equations
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 strong conceptual clarity.
1. Slope of line joining (1,2) and (3,6) is:
Answer: B) 2
Explanation: m=(6−2)/(3−1)=4/2=2.
Explanation: m=(6−2)/(3−1)=4/2=2.
2. Equation in slope‑intercept form:
Answer: B
Explanation: m = slope, c = y‑intercept.
Explanation: m = slope, c = y‑intercept.
3. y‑intercept of y=3x+5:
Answer: B
Explanation: Put x=0 → y=5.
Explanation: Put x=0 → y=5.
4. x‑intercept of 2x+y−4=0:
Answer: B
Explanation: Put y=0 → 2x=4 → x=2.
Explanation: Put y=0 → 2x=4 → x=2.
5. Slope of 4x−2y+6=0:
Answer: A
Explanation: y=2x+3 → slope 2.
Explanation: y=2x+3 → slope 2.
6. Intercept form represents:
Answer: A
7. If slope positive, line:
Answer: B
Explanation: Moves upward left to right.
Explanation: Moves upward left to right.
8. If slope zero:
Answer: B
9. Equation through origin:
Answer: A
10. Angle of inclination θ relates:
Answer: A
11. Parallel lines have:
Answer: A
12. Perpendicular slopes:
Answer: B
13. Line with undefined slope:
Answer: A
14. y‑intercept of 2x+3y=6:
Answer: B
Explanation: y=2.
Explanation: y=2.
15. x‑intercept of x+y=5:
Answer: A
16. Slope in intercept form:
Answer: A
17. General form constant term gives:
Answer: A
18. Inclination of vertical line:
Answer: C
19. Inclination of horizontal line:
Answer: A
20. Equation with slope 2 through origin:
Answer: A
Explanation: c=0 → y=mx.
Explanation: c=0 → y=mx.