This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Coordinate Geometry > Class 10 Maths Chapter 7 Coordinate Geometry – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 7 Coordinate Geometry Quiz 3 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which point lies to the right of y-axis? A) (0, 3). B) (-3, -2). C) (3, 5). D) (-2, -1). Show Answer Correct Answer: C) (3, 5). 2. The point on the x-axis which is equidistant from (2, -5) and (-2, 9) is ..... A) (2, 0). B) (-2, 0). C) (7, 0). D) (-7, 0). Show Answer Correct Answer: D) (-7, 0). 3. How many quadrants are there in a cartesian plane A) 3. B) 6. C) 2. D) 4. Show Answer Correct Answer: D) 4. 4. The points (0, -4), (0, 3), (0, 0) lie on A) X-Axis. B) Y-Axis. C) First quadrant. D) None. Show Answer Correct Answer: B) Y-Axis. 5. A straight line joins the points A (-2, -3) and C (1, 9).Find the co-ordinates of the midpoint of AC. A) (-0.5, -3). B) (-0.5, 3). C) (0.5, 3). D) None of the above. Show Answer Correct Answer: B) (-0.5, 3). 6. If the length of the line segment with endpoints (1, -3) and (7, p) is 10. find the value of p. A) 5. B) 8. C) 15. D) 12. Show Answer Correct Answer: A) 5. 7. Which axis runs horizontally (side to side)? A) X. B) Y. C) All the above. D) None of the above. Show Answer Correct Answer: A) X. 8. The radius of the circle whose Centre is (2, 4) and passes through (10, -2) is ..... units. A) 5. B) 10. C) $\sqrt{70}$. D) $\sqrt{68}$. Show Answer Correct Answer: B) 10. 9. M is the midpoint of [QR], Find the coordinates of R if Q (-5, 0) and M (0, -1) A) (0, -4). B) (4, 0). C) (5, -2). D) (5, 2). Show Answer Correct Answer: C) (5, -2). 10. (2, 3) and (6, 6) distance between points A) 3 humans. B) 5 Humans. C) 4 humans. D) 7 Humans. Show Answer Correct Answer: B) 5 Humans. 11. Determine the distance between the points (-3, 1) and (2, -5). A) The distance between the points (-3, 1) and (2, -5) is 7.81 units. B) The distance between the points (-3, 1) and (2, -5) is 5.62 units. C) The distance between the points (-3, 1) and (2, -5) is-3.24 units. D) The distance between the points (-3, 1) and (2, -5) is 10.5 units. Show Answer Correct Answer: A) The distance between the points (-3, 1) and (2, -5) is 7.81 units. 12. Show that the line 4y = 5x-10 is perpendicular to the line 5y+4x = 35. A) $-\frac{4}{5}\times\frac{5}{4}=-1$. B) $\frac{4}{5}\times\frac{5}{4}=1$. C) All the above. D) None of the above. Show Answer Correct Answer: A) $-\frac{4}{5}\times\frac{5}{4}=-1$. 13. Which of the following point lie on X-axis? A) (3, 0). B) (3, -4). C) (0, 4). D) (0, -3). Show Answer Correct Answer: A) (3, 0). 14. Find the gradient of the line that is perpendicular to the line 2y = 3+5x. A) 0.4. B) -0.4. C) $\frac{2}{5}$. D) None of the above. Show Answer Correct Answer: B) -0.4. 15. Find the midpoint of the segment with endpoints (4, 12) and (-6, 14) A) (13, -1). B) (13, 1). C) (-1, 13). D) (5, 13). Show Answer Correct Answer: C) (-1, 13). 16. Use midpoints to find the fourth vertex of the given parallelograms PQRS:P(-2, -3), Q(-1, 2), R(x, y), S(1, 0) A) R(2, 5). B) R(-1/2, -3/2). C) R(-3/2, -1/2). D) R(0, 1). Show Answer Correct Answer: A) R(2, 5). 17. What quadrilateral(s) have equal diagonals? A) Rectangle. B) Rectangle and square. C) Rhombus. D) Rhombus and square. Show Answer Correct Answer: B) Rectangle and square. 18. Find the equation of the perpendicular bisector of AB given A(3, 1) and B(-3, 6) A) Y = x-4. B) Y = x-6. C) Y=1. D) Y=2x+6. Show Answer Correct Answer: A) Y = x-4. 19. Calculate the gradient of the line passing through the points (0, -2) and (6, 4). A) 3. B) 2. C) 1. D) 4. Show Answer Correct Answer: C) 1. 20. What is an equation in point-slope form for the line perpendicular to y = 2x + 13 that contains (8, -4)? A) Y + 4 = 2 (x-8). B) X + 4 = 2 (y-8). C) Y + 4 =-(1/2) (x-8). D) Y + 8 =-(1/2) (x-4). Show Answer Correct Answer: C) Y + 4 =-(1/2) (x-8). 21. Name the quadrant in which the point (-2, 3) lies A) I QUADRANT. B) IV QUADRANT. C) II QUADRANT. D) 3 square. Show Answer Correct Answer: C) II QUADRANT. 22. Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint:(9, 8) Midpoint (0, 9) A) (-9, 10). B) (1.5, -1). C) (8.5, 4.5). D) (4.5, -0.5). Show Answer Correct Answer: A) (-9, 10). 23. Which of the following point l lies in the third quadrant? A) (-3, -4). B) (-3, 4). C) ( 3, 4). D) (3-4). Show Answer Correct Answer: A) (-3, -4). 24. We use the distance formula to do what? A) See if opposite sides are parallel. B) See if opposite sides are congruent. C) See if diagonals have the same slope. D) See if diagonals bisect each other. Show Answer Correct Answer: B) See if opposite sides are congruent. 25. P (1, 3), Q (-3, 2), R (3, 4) and S (4, 1) are the point near the original point at these four points. A) Q. B) S. C) P. D) R. Show Answer Correct Answer: C) P. 26. How many quadrants does the cartesian plane cut into A) 4. B) 1. C) 3. D) 2. Show Answer Correct Answer: A) 4. 27. Which option could be used to prove a quadrilateral is a square? A) All sides are congruent. B) Diagonals are congruent. C) All sides are congruent and diagonals are congruent. D) Opposite sides are parallel. Show Answer Correct Answer: C) All sides are congruent and diagonals are congruent. 28. If three points are collinear, then the area of the triangle formed by these points will be ..... A) Equal to zero. B) Non zero. C) All the above. D) None of the above. Show Answer Correct Answer: A) Equal to zero. 29. A is the point (8, 5) and B is the point (-4, 1).Find the co-ordinates of the midpoint of AB. A) (3, 2). B) (2, 3). C) (-2, -3). D) None of the above. Show Answer Correct Answer: B) (2, 3). 30. Which point lies on x-axis? A) (-1, -2). B) (3, 2). C) (-3, 2). D) (2, 0). Show Answer Correct Answer: D) (2, 0). 31. Which equation is perpendicular to:y =-6x +2 A) Y = 6x +1. B) Y =-1/6x +5. C) Y =-6x +3. D) Y = 1/6x +4. Show Answer Correct Answer: D) Y = 1/6x +4. 32. Which formula would you use to show two lines are perpendicular? A) Slope. B) Midpoint. C) Distance. D) None of the above. Show Answer Correct Answer: A) Slope. 33. The equation of a straight line is 2y = 3x+4.Find the gradient of this line. A) 1.5. B) 1. C) 1.3. D) None of the above. Show Answer Correct Answer: A) 1.5. 34. If I want to show two lines are parallel what formula do I use? A) Slope. B) Pythagorean Theorm. C) Distance. D) Midpoint. Show Answer Correct Answer: A) Slope. 35. The line PQ has equation y = 3x-8 and point P has co-ordinates (6, 10).Find the equation of the line that passes through P and is perpendicular to PQ.Give your answer in the form y = mx + c. A) $y=-\frac{1}{3}x\+12$. B) $y=-3x+12$. C) $y=\frac{1}{3}x-12$. D) None of the above. Show Answer Correct Answer: A) $y=-\frac{1}{3}x\+12$. 36. Find the distance between the two points:(2, -1) and (2, 5) A) 8.3. B) 5.5. C) 0. D) 6. Show Answer Correct Answer: D) 6. 37. The area of triangle formed by the points (-5, 0), (0, -5) and (5, 0) is ..... sq.units A) 0. B) 25. C) 5. D) None. Show Answer Correct Answer: B) 25. 38. Distance between the root and (-12, 5) points A) -12 humans. B) 5 Humans. C) 10 Humans. D) 13 Humans. Show Answer Correct Answer: D) 13 Humans. 39. What formula would you use to show segments are congruent? A) Slope Formula. B) Distance Formula. C) Midpoint Formula. D) None of the above. Show Answer Correct Answer: B) Distance Formula. 40. If (x + 2, 4) = (5, y-2), then coordinates (x, y) are A) Coordinates (x, y) are(3, 6). B) Coordinates (x, y) are(7, 12). C) Coordinates (x, y) are(2, 1). D) Coordinates (x, y) are (6, 3). Show Answer Correct Answer: A) Coordinates (x, y) are(3, 6). 41. If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y. A) X = 6, y = 3. B) X = 3, y = 6. C) X = 4, y = 5. D) None. Show Answer Correct Answer: A) X = 6, y = 3. 42. A triangle with vertices (4, 0), (-1, -1) and (3, 5) is a/an A) Equilateral triangle. B) Right-angled triangle. C) Isosceles right-angled triangle. D) None of these. Show Answer Correct Answer: C) Isosceles right-angled triangle. 43. Abscissa of all the points on the x-axis is ..... A) Any number. B) 2. C) 1. D) 0. Show Answer Correct Answer: A) Any number. 44. The midpoint of the line segment joining (-4, -5) and (2, 1) is A) (3, 3). B) (-1, -2). C) (1, -2). D) (1, 2). Show Answer Correct Answer: B) (-1, -2). 45. If P( a/3, 4) is the mid-point of the line segment joining the points Q (-6, 5) andR (-2, 3), then the value of a is A) 12. B) -12. C) -6. D) -4. Show Answer Correct Answer: B) -12. 46. The fourth vertex D of a parallelogram ABCD whose three vertices are A (-2, 3), B (6, 7) and C (8, 3) is A) (0, -1). B) (0, 1). C) (-1, 0). D) (1, 0). Show Answer Correct Answer: A) (0, -1). 47. How do you write an ordered pair? A) (X, X). B) (Y, X). C) (X, Y). D) (And, y). Show Answer Correct Answer: C) (X, Y). 48. The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is A) 12. B) 11. C) 14. D) 10. Show Answer Correct Answer: A) 12. 49. The point which lies on the perpendicular bisector of the line segment joining the points A (-2, -5) and B (2, 5) is A) (0, 0). B) (-2, 0). C) (2, 0). D) (0, 2). Show Answer Correct Answer: A) (0, 0). 50. Point Y (5, 7) is the midpoint on a segment between Point X (3, -1) and Point Z. What is the coordinate of Point Z? A) (9, 17). B) (1, -9). C) (7, 15). D) (2.5, 3). Show Answer Correct Answer: C) (7, 15). 51. (0, 4), (0, 0) and (3, 0) the circumference of the triangular A) $5+\sqrt{5}$. B) $7+\sqrt{5}$. C) 0. D) 12 Humans. Show Answer Correct Answer: D) 12 Humans. 52. Y = $^{-2}$/$_{3}$x + 2y = $^{3}$/$_{2}$x + 9These lines are ..... A) Parallel. B) Perpendicular. C) Neither. D) None of the above. Show Answer Correct Answer: B) Perpendicular. 53. Ratio in which the line 3x + 4y = 7 divides the line segment joining the points ( 1, 2) and (-2, 1 ) A) 3:5. B) 4:6. C) 4:9. D) None of these. Show Answer Correct Answer: C) 4:9. 54. In the ordered pair (4, 9), which number is the y-coordinate? A) 4. B) 9. C) Neither. D) Both. Show Answer Correct Answer: B) 9. 55. The slope of the line joining (12, 3), (4, a) is 1/8. The value of a is A) 1. B) -5. C) 2. D) 4. Show Answer Correct Answer: C) 2. 56. The point at which the two coordinate axes meet is called ..... A) Quadrant. B) Ordinate. C) Abscissa. D) Origin. Show Answer Correct Answer: D) Origin. 57. Which axis runs vertically (up and down)? A) X. B) Y. C) All the above. D) None of the above. Show Answer Correct Answer: B) Y. 58. Find the ratio in which the line segment joining the points P (3, -6) and Q (5, 3) is divided by the x-axis. A) 3:2. B) 2:3. C) 1:2. D) 2:1. Show Answer Correct Answer: D) 2:1. 59. Say 'TRUE' or 'FALSE'The points (-3, 0), (0, 0) and (0, 2) are collinear A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 60. The points (-5, 1), (1, p) and (4, -2) are collinear ifthe value of p is ..... A) 1. B) -1. C) 2. D) 3. Show Answer Correct Answer: B) -1. ← PreviousNext →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 7 Coordinate Geometry Quiz 1Class 10 Maths Chapter 7 Coordinate Geometry Quiz 2Class 10 Maths Chapter 7 Coordinate Geometry Quiz 4 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books