This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Coordinate Geometry > Class 10 Maths Chapter 7 Coordinate Geometry – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 7 Coordinate Geometry Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If I want to prove that a quadrilateral is a square, how many times will you have to use the distance formula? A) 2. B) 4. C) 1. D) 3. Show Answer Correct Answer: B) 4. 2. How do you show the diagonals are congruent? A) Measure them with a ruler. B) Use the slope formula. C) Use the distance formula. D) Use the midpoint formula. Show Answer Correct Answer: C) Use the distance formula. 3. If A (5, 3), B(11, -5) and P(12, y) are the vertices of a right triangle right angled at P, they y=? A) 2, 4. B) -2, 4. C) -2, -4. D) 2, -4. Show Answer Correct Answer: D) 2, -4. 4. (2, 5), (2, 8) and (2, 10) the area of triangular (in the square) with the summit points A) 31. B) 8. C) 23. D) 0. Show Answer Correct Answer: D) 0. 5. A point of the form (0, b) lies on y-axis quadrant III x-axis quadrant I A) Y-axis. B) 2nd quadrant. C) 4th quadrant. D) X axis. Show Answer Correct Answer: A) Y-axis. 6. Ordinate is positive and abscissa is negative then the point belongs to ..... quadrant. A) I. B) III. C) IV. D) II. Show Answer Correct Answer: D) II. 7. The coordinates of the point that divides the line of (-1, 7) and (4, -3) that divides the line in the ratio of 2:3. A) (3, 1). B) (2, 3). C) (1, 3). D) (1, 1). Show Answer Correct Answer: C) (1, 3). 8. Determine the gradient of the line passing through the points (-2, 5) and (4, -3). A) 5/4. B) 3/2. C) -4/3. D) 2/3. Show Answer Correct Answer: C) -4/3. 9. The area of a triangle with vertices A (3, 0), B (7, 0) and C (8, 4) is ..... A) 6. B) 8. C) 14. D) 28. Show Answer Correct Answer: B) 8. 10. (3, 5) and (7, 3) the coordinates of the line of line that attaches the points A) (2, 1). B) (2, 4). C) (4, 5). D) (5, 4). Show Answer Correct Answer: D) (5, 4). 11. The distance of the point P (-6, 8) from the origin is A) 2 7. B) 10. C) 8. D) 6. Show Answer Correct Answer: B) 10. 12. Write the equation of a line with a gradient of-3 passing through the point (2, 5). A) Y =-5x + 2. B) Y =-3x + 5. C) Y =-3x + 11. D) Y = 2x + 5. Show Answer Correct Answer: C) Y =-3x + 11. 13. What is the distance of the point (3, 4) from the origin? A) 5. B) 4. C) 6. D) 7. Show Answer Correct Answer: A) 5. 14. The section formed by horizontal and vertical lines determining the position of the point in a cartesian plane is called: A) Quadrants. B) Y-axis. C) Origin. D) X-axis. Show Answer Correct Answer: A) Quadrants. 15. What formula would you use to show lengths are equal? A) Slope Formula. B) Distance Formula. C) Midpoint Formula. D) None of the above. Show Answer Correct Answer: B) Distance Formula. 16. How do you show diagonals bisect each other? A) Use the distance formula-they would have the same length. B) Use the midpoint formula-they would be the same. C) Use the slope formula-they would have opposite reciprocal slopes. D) Hope I don't have to show this on the test(Really?). Show Answer Correct Answer: B) Use the midpoint formula-they would be the same. 17. Find the equation of the line with a gradient of 1/2 passing through the point (3, 4). A) Y = 2x + 3. B) Y = (1/2) x + 1. C) Y = 2x + 1. D) Y = (1/2) x + 2. Show Answer Correct Answer: D) Y = (1/2) x + 2. 18. The coordinates of the point which lies on y-axis at a distance of 4 units in negative direction of y-axis is A) (5, 4). B) (0, -4). C) (4, 0). D) (-4, 0). Show Answer Correct Answer: B) (0, -4). 19. AOBC is a rectangle whose three vertices are A (0, 3), 0 (0, 0) and B (5, 0). Find the length of its diagonal. A) 9. B) 34$^{1/2}$. C) 34. D) 29. Show Answer Correct Answer: B) 34$^{1/2}$. 20. If P ( 4/3, a) is the mid-point of the line segment joining the points Q (-6, 5) and R (-2, 3), then the value of a is A) 4. B) 12. C) 6. D) -12. Show Answer Correct Answer: D) -12. 21. Consider four straight lines (i) l$_{1}$:3y = 4x + 5 (ii) l$_{2}$:4y = 3x-1 (iii) l$_{3}$:4y + 3x = 7 (iv) l$_{4}$:4x + 3y = 2 Which of the following statement is true? A) L$_{1}$ and l$_{2}$ are perpendicular. B) L$_{2}$ and l$_{4}$ are parallel. C) L$_{2}$ and l$_{4}$ are perpendicular. D) L$_{2}$ and l$_{3}$ are parallel. Show Answer Correct Answer: C) L$_{2}$ and l$_{4}$ are perpendicular. 22. If the distance between the points (x, -1) and (3, 2) is 5, then the value of x is ..... A) -7 or 1. B) -7 or-1. C) 7 or 1. D) 7 or-1. Show Answer Correct Answer: D) 7 or-1. 23. Y = $^{1}$/$_{3}$x + 2y = 4x + 9These lines are ..... A) Parallel. B) Perpendicular. C) Neither. D) None of the above. Show Answer Correct Answer: C) Neither. 24. Name the quadrant in which the point (-5, -4) lie A) IV QUADRANT. B) I QUDRANT. C) 3 square. D) II QUADRANT. Show Answer Correct Answer: C) 3 square. 25. Y = 5/7x +2y = 5/7x-30These lines are ..... A) Parallel. B) Perpendicular. C) Neither. D) None of the above. Show Answer Correct Answer: A) Parallel. 26. What is the gradient of the straight line with equation3x + 2y + 9 = 0? A) $\frac{2}{3}$. B) -$\frac{3}{2}$. C) $\frac{3}{2}$. D) -$\frac{2}{3}$. Show Answer Correct Answer: B) -$\frac{3}{2}$. 27. If the distance between the points (2, -2) and (-1, x) is 5, one of the values of x is ..... A) -1. B) 2. C) -2. D) 1. Show Answer Correct Answer: B) 2. 28. Whose birthday we celebrate it as National Mathematics Day. A) Newton. B) Srinivasa Ramnujan. C) Rene descartes. D) Aryabhata. Show Answer Correct Answer: B) Srinivasa Ramnujan. 29. In which quadrant both X and Y coordinates are positive? A) I. B) IV. C) II. D) III. Show Answer Correct Answer: A) I. 30. When proving that a quadrilateral is a parallelogram by using slopes you must find ..... A) The slopes of two sides. B) The slopes of two pair of opposite sides. C) The lengths of all sides. D) Both the lengths and slopes of two sides. Show Answer Correct Answer: B) The slopes of two pair of opposite sides. 31. Write the equation of a circle with center (h, k) and radius r. A) (x-h)$^{ 2}$ + (y-k)$^{ 2}$ = r$^{ 2}$. B) (x-h)$^{ 2}$-(h-k)$^{ 2}$ = r. C) X$^{ 2}$ + y$^{ 2 }$ = r$^{ 2}$. D) (x + h)$^{ 2}$ + (y + h)$^{ 2}$ = r$^{ 2}$. Show Answer Correct Answer: A) (x-h)$^{ 2}$ + (y-k)$^{ 2}$ = r$^{ 2}$. 32. The other name of Y coordinate is ..... A) Ordered pair. B) Cartesian plane. C) Abscissa. D) Ordinate. Show Answer Correct Answer: D) Ordinate. 33. If (5, 7), (3, p) and (6, 6) are collinear then p is . A) 9. B) 6. C) 12. D) 3. Show Answer Correct Answer: A) 9. 34. Which option could be used to prove a quadrilateral is an isosceles trapezoid? A) One pair of sides is parallel. B) One pair of sides is parallel and the non parallel sides are congruent. C) Opposite sides are congruent. D) Opposite sides are parallel and congruent. Show Answer Correct Answer: B) One pair of sides is parallel and the non parallel sides are congruent. 35. AOBC is a rectangle whose three vertices are A(0, 3), O(0, 0) and B(5, 0). The length of its diagonal is A) (sqrt{34}). B) 5. C) 3. D) 4. Show Answer Correct Answer: A) (sqrt{34}). 36. In what ratio does the point (-4, 6) divide the line segment joining the points (-6, 10) and (3, -8) A) 2:7. B) 1:2. C) 2:1. D) 10:7. Show Answer Correct Answer: A) 2:7. 37. The points (1, 1), (-2, 7) and (3, -3) are A) Vertices of an equilateral triangle. B) Collinear. C) Vertices of Isosceles Triangle. D) None of These. Show Answer Correct Answer: B) Collinear. 38. If A(-1, 3), B(1, -1) and C (5, 1) are the vertices of a triangle ABC, what is the length of the median through vertex A? A) 2. B) 3. C) 5. D) 1. Show Answer Correct Answer: C) 5. 39. A is the point (2, 3) and B is the point (7, -5).Find the equation of the line through A that is perpendicular to AB.Give your answer in the form y = mx+c. A) $y=\frac{5}{8}x+\frac{7}{4}$. B) $y=-\frac{5}{8}x+\frac{7}{4}$. C) $y=\frac{7}{4}x+\frac{5}{8}$. D) None of the above. Show Answer Correct Answer: A) $y=\frac{5}{8}x+\frac{7}{4}$. 40. What's the distance between (0, 0) and (3, 4) A) 7. B) 5. C) 49. D) 25. Show Answer Correct Answer: B) 5. 41. Point P (x, y) is the coordinates of the point p if the original point is 5 humans away from the original point. A) (3, 4). B) (3, 3). C) (1, 2). D) (-2, 3). Show Answer Correct Answer: A) (3, 4). 42. Area of triangle formed with the vertices (1, 2), (6, 2) and (5, 3) is ..... square units. A) 5. B) 10. C) 2.5. D) 3.5. Show Answer Correct Answer: C) 2.5. 43. One of the two points of trisection of the line segment joining the points A (7, -2) and B (1, -5) which divides the line in the ratio 1:2 are ..... A) (5, 3). B) (5, -3). C) (-5, -3). D) (13, 0). Show Answer Correct Answer: B) (5, -3). 44. The distance between the points A (0, 6) and B (0, -2) is ..... A) 4. B) 8. C) 6. D) 2. Show Answer Correct Answer: B) 8. 45. (-0.25, 0.0009) belongs to ..... quadrant. A) I. B) III. C) IV. D) II. Show Answer Correct Answer: D) II. 46. What is the perpendicular distance of the point (-3, -4) from x axis A) 4. B) 12. C) 7. D) 3. Show Answer Correct Answer: A) 4. 47. (2020, 0) lies on ..... A) Y axis. B) X axis. C) First quadrant. D) None. Show Answer Correct Answer: B) X axis. 48. (k, 3) and (2, 3) If the distance between the points is 5, the price of K A) 6 or 3. B) 5 or 7. C) 8 or 2. D) 7 or-3. Show Answer Correct Answer: D) 7 or-3. 49. Do the points (3, 2), (2, 3), (-2, -3) form a triangle? A) YES. B) NO. C) All the above. D) None of the above. Show Answer Correct Answer: A) YES. 50. The points A (9, 0), B (9, 6), C (-9, 6) and D (-9, 0) are the vertices of a A) Rhombus. B) Rectangle. C) Trapezium. D) Square. Show Answer Correct Answer: B) Rectangle. 51. A is the point (2, 3) and B is the point (7, -5). Find the co-ordinates of the midpoint of AB. A) (5, -1). B) (4.5, 1). C) (4.5, -1). D) None of the above. Show Answer Correct Answer: C) (4.5, -1). 52. The points (-5, 2) and (2, -5) lie in the A) 1st quadrant. B) 2nd quadrant and 4th quadrant. C) 3rd and 1st quadrant. D) 2nd and 3rd quadrant. Show Answer Correct Answer: B) 2nd quadrant and 4th quadrant. 53. Point (0, -11) lies A) On the fourth quadrant. B) On the negative y-axis. C) On the positive x-axis. D) In the third quadrant. Show Answer Correct Answer: B) On the negative y-axis. 54. A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, -5) is the mid-point of PQ, then the coordinates of P and Q are respectively A) (0, -5) and (2, 0). B) (0, 10) and (-4, 0). C) (0, 4) and (-10, 0). D) (0, -10) and (4, 0). Show Answer Correct Answer: D) (0, -10) and (4, 0). 55. Write the equation of a line with a gradient of 2 passing through the point (1, 3). A) Y = 2x + 1. B) Y = 2x + 3. C) Y = 2x-1. D) Y = 3x + 1. Show Answer Correct Answer: A) Y = 2x + 1. 56. Which of the following point lie on Y-axis? A) (0, 5). B) (1, 2). C) (-3, 0). D) (4, 0). Show Answer Correct Answer: A) (0, 5). 57. If the line passes through the points (3, 2) and (5, 8), find the equation of the line. A) Y = 2x + 5. B) Y = 3x-7. C) Y =-x + 10. D) Y = 4x-3. Show Answer Correct Answer: B) Y = 3x-7. 58. Find the slope of the line that passes through the points (2, 4) and (6, 12) A) -1/2. B) 2. C) 1/2. D) -2. Show Answer Correct Answer: B) 2. 59. If the line has a gradient of-4 and passes through the point (3, -2), what is the equation of the line? A) Y =-4x-10. B) Y = 4x + 10. C) Y =-4x-2. D) Y =-4x + 10. Show Answer Correct Answer: D) Y =-4x + 10. 60. What is the slope in the equation:y=4x+3 A) ZKS. B) Hh. C) 4. D) 3. Show Answer Correct Answer: C) 4. 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