/20 1234567891011121314151617181920 Coordinate Geometry 1 / 20 1. The formula to find the distance between two points (x₁, y₁) and (x₂, y₂) is A) (x₂ – x₁) + (y₂ – y₁) B) √[(x₂ – x₁)² + (y₂ – y₁)²] C) x₁y₁ + x₂y₂ D) None of these 2 / 20 2. What is the area formula for three points of a triangle? A) (x₁ + x₂ + x₃) * (y₁ + y₂ + y₃) B) None of these C) x₁y₁ + x₂y₂ + x₃y₃ D) 1/2 [x₁(y₂ – y₃) + x₂(y₃ – y₁) + x₃(y₁ – y₂)] 3 / 20 3. The formula for the area of a triangle is A) 1/3 × base × height B) 1/2 × base × height C) None of these D) base × height 4 / 20 4. The equation of the Y-axis in coordinate geometry is A) None of these B) y = 0 C) x = 0 D) x + y = 0 5 / 20 5. If a point lies on the X-axis, then its Y-coordinate is always A) 0 B) Any number C) 1 D) -1 6 / 20 6. The point that lies on both the X-axis and Y-axis is A) (2,0) B) (0,1) C) (1,1) D) (0,0) 7 / 20 7. If the distance between two points (x, 5) and (3, 1) is 5, the value of x is A) 2 B) 0 C) 1 D) 3 8 / 20 8. If a point lies on the Y-axis, then its X-coordinate is always A) 1 B) Any number C) -2 D) 0 9 / 20 9. The coordinates of the origin are A) (1,0) B) (0,0) C) (0,1) D) (1,1) 10 / 20 10. The centroid of a triangle divides each median in the ratio A) 3:1 B) None of these C) 1:1 D) 2:1 11 / 20 11. The coordinates of a point in the second quadrant are always A) (+, -) B) (-, -) C) (+, +) D) (-, +) 12 / 20 12. The coordinate axes divide the plane into how many quadrants A) 3 B) 4 C) 5 D) 2 13 / 20 13. The plane formed by two perpendicular number lines is called the A) Cartesian plane B) Graph C) Both b and c D) Coordinate plane 14 / 20 14. If two points are (2,3) and (6,3), then what is the distance between them A) 8 B) 6 C) 4 D) 2 15 / 20 15. The point where the X-axis and Y-axis intersect is called the A) Quadrant B) Origin C) Center D) Midpoint 16 / 20 16. The vertical axis in the Cartesian plane is called the A) Y-axis B) Origin C) X-axis D) Quadrant 17 / 20 17. The equation of the X-axis in coordinate geometry is A) y = 0 B) x + y = 0 C) x = 0 D) None of these 18 / 20 18. The horizontal axis in the Cartesian plane is called the A) A-axis B) X-axis C) Origin D) Quadrant 19 / 20 19. What is the formula for the midpoint of a line segment A) [(x₁ – x₂)/2, (y₁ – y₂)/2] B) [(x₁ + x₂)/2, (y₁ + y₂)/2] C) [(x₁ * x₂)/2, (y₁ * y₂)/2] D) None of these 20 / 20 20. If three points are collinear, then the area of the triangle formed by them will be A) 1 B) uncertain C) 10 D) 0 Share Your Score with Friends Facebook Twitter
