Practice 9 Level 2 – Coordinate Geometry – Set 1 Leave a Comment / By Gulam Hamza / July 19, 2024 Practice 9 Level 2 - Coordinate Geometry - Set 1 Total questions: 25 1. Find the distance between the points (5, -3) and (-1, 4) . Topic: Distance Formula 8 9 10 11 None 2. The point (3, 4) divides the line segment joining (1, 2)and (7, 8) in the ratio : Topic: Section Formula 1:2 2:1 3:4 1:1 None 3. What is the midpoint of the line segment joining (6, 8) and (4, 2)? Topic: Mid Point Formula (5, 5) (5, 6) (6, 5) (4, 5) None 4. What is the slope of the line passing through the point (2, 3) and (4, 7)? Topic: Slope of a Line 2 3 4 5 None 5. Are the points (1, 2), (2, 3)and (3, 4) collinear? Topic: Collinearity of Points Yes No Sometimes None of the above None 6. The point which lies on the y-axis at a distance of 5 units in the negative direction of the y-axis is Topic: Section Formula (5, 0) (0, 5) (-5, 0) (0, -5) None 7. What is the length of the diagonal of the rectangle with vertices at (1, 1) , (1, 4), (5, 4). Topic: Distance Formula 5 6 7 8 None 8. The midpoint of the line segment joining (2, 3) and (10, 7) is : Topic: Mid Point Formula (6, 5) (5, 6) (7, 5) (6, 6) None 9. Find the slope of the line passing through the points (-1, -1) and (2, 3). Topic: Slope of a Line $ \displaystyle \dfrac{4}{3}$ $ \displaystyle \dfrac{2}{3}$ $ \displaystyle \dfrac{1}{3}$ 1 None 10. Are the points (1, 1) , (2, 2) and (4, 4) collinear? Topic: Collinearity of Points Yes No Sometimes None of the above None 11. The points (2, 5) divides the line segment joining (0, 1) and (4, 9) in the ratio : Topic: Section Formula 1:1 2:3 1:2 2:1 None 12. What is the distance between the points (-2, -3) and (4, 3)? Topic: Distance Formula 5 6 7 8 None 13. What is the midpoint of the line segment joining (-1, -3) and (5, 7)? Topic: Mid Point Formula (2, 2) (1 2) (2, 1) (3, 2) None 14. Find the slope of the line passing through the points (3, 4) and (7, 10) Topic: Slope of a Line 2 1.5 1.2 1 None 15. Are the points (0, 0) , (1, 1), (2, 3) collinear ? Topic: Collinearity of Points Yes No Sometimes None of the above None 16. The point (1, 3) divides the line segment joining (-1, 1)and (3, 5) in the ratio : Topic: Section Formula 2:1 3:2 1:2 1:1 None 17. What is the distance between the points (2, -1) and (-2, -5)? Topic: Distance Formula 4.01 5.66 6.21 7.34 None 18. What is the midpoint of the segment joining (0, 0) and (6, 8)? Topic: Mid Point Formula (3, 4) (4, 4) (3, 5) (4, 3) None 19. Find the slope of the line passing through the point (-1, -1) and (2, 3) Topic: Slope of a Line 1 2 1.33 2.56 None 20. Are the points (1, 2),(3, 6) and (5, 10) collinear? Topic: Collinearity of Points Yes No Sometimes Nonee of the above None 21. The point (4, 4) divides the line segments joining (0, 0) and (8, 8) in the ratio : Topic: Section Formula 1:1 2:3 1:2 2:1 None 22. What is the distance between the points (-3, -3) and (3, 3)? Topic: Distance Formula 6.95 7.89 8.49 9.56 None 23. What is the midpoint of the line segment joining (2, 4) and (6, 8)? Topic: Mid Point Formula (4, 6) (5, 6) (4, 5) (6, 4) None 24. Find the slope of the line passing through the points (1, 1) and (3, 5) . Topic: Slope of a Line 1 2 1.5 2.5 None 25. Are the points (2, 4),(4, 8) and (6, 12) collinear? Topic: Collinearity of Points Yes No Sometimes None of the above None 1 out of 25 Time's up