This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Coordinate Geometry > Class 10 Maths Chapter 7 Coordinate Geometry – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 7 Coordinate Geometry Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The point which divides the lines segment joining the points (7, -6) and (3, 4) in ratio 1:2 internally lies in the A) 3 square. B) IV quadrant. C) II quadrant. D) I quadrant. Show Answer Correct Answer: B) IV quadrant. 2. The mid-point of the line segment joining the points A (-2, 8) and B (-6, -4) is ..... A) (-4, -6). B) (4, 2). C) (2, 6). D) (-4, 2). Show Answer Correct Answer: D) (-4, 2). 3. Calculate the distance between the points (3, 4) and (7, 1). A) 7. B) 2. C) 5. D) 3. Show Answer Correct Answer: C) 5. 4. The area of a triangle with vertices (a, b + c), (b, c + a) and (c, a + b) is A) Abc. B) 0. C) A + b + c. D) (a + b + c)$^{2}$. Show Answer Correct Answer: B) 0. 5. If the coordinates of a point are (0, -4), then it lies in: A) X-axis. B) Y-axis. C) At origin. D) Between x-axis and y-axis. Show Answer Correct Answer: B) Y-axis. 6. What ordered pair is 5 units to the right and 3 units up from the origin? A) (3, 5). B) (-3, 5). C) (-3, -5). D) (5, 3). Show Answer Correct Answer: D) (5, 3). 7. The point which divides the line segment joining the points (7, -6) and (3, 4) inratio 1:2 internally lies in the which quadrant A) I quadrant. B) IV quadrant. C) II quadrant. D) 3 square. Show Answer Correct Answer: B) IV quadrant. 8. Mid point of line segment joining points (-2, 4) and (6, 10) is ..... A) (3, 7). B) (2, 5). C) (3, 8). D) (2, 7). Show Answer Correct Answer: D) (2, 7). 9. (2, 1) is the point of intersection of two lines. A) X-y-3 = 0; 3x-y-7 = 0. B) X + 3y-3 = 0; x-y-7 = 0. C) X + y = 3; 3x + y = 7. D) 3x + y = 3; x + y = 7. Show Answer Correct Answer: C) X + y = 3; 3x + y = 7. 10. What formula do you use to decide if there is a right angle based on coordinates? A) Slope. B) Partitioning a segment. C) Midpoint. D) Distance. Show Answer Correct Answer: A) Slope. 11. The distance of the point P (2, 3) from the x-axis is ..... A) 2. B) 1. C) 3. D) 5. Show Answer Correct Answer: C) 3. 12. The distance of the point P(5, 2) from the y-axis is ..... A) 5 units. B) 2 Wints. C) 4 units. D) Wints. Show Answer Correct Answer: A) 5 units. 13. Use the distance formula to classify the following triangleA (1, 0) B (3, 1) C (4, 5) A) Right angled. B) Equilateral. C) Isosceles. D) Scalene. Show Answer Correct Answer: D) Scalene. 14. The distance between the points A(0, 6) and B(0, -2) is ..... A) 6. B) 8. C) 4. D) 16. Show Answer Correct Answer: B) 8. 15. The distance of a point from the y-axis is called its x-coordinate, or abscissa A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 16. Write the equation $4x+11y-9=0$ A) $y=-\frac{4}{11}x+\frac{9}{11}$. B) $11y=-4x+9$. C) $y=\frac{4}{11}x-\frac{9}{11}$. D) $x=-\frac{11}{4}x+\frac{9}{4}$. Show Answer Correct Answer: A) $y=-\frac{4}{11}x+\frac{9}{11}$. 17. The coordinates of origin are ..... A) (1, 0). B) (0, 1). C) (0, 0). D) (1, 1). Show Answer Correct Answer: C) (0, 0). 18. What shape is form when we join point (0, 7), ( 0, 0), (8, 0)? A) Rectangle. B) Triangle. C) Square. D) Parallelogram. Show Answer Correct Answer: B) Triangle. 19. AB circle diameter is its center (2, -3) and B (1, 4) but the coordinates of the point. A) (3, -10). B) (3, -9). C) (2, 9). D) (4, 5). Show Answer Correct Answer: A) (3, -10). 20. If the points A(x, 2), B(-3, 4) and C(7, -5) are collinear then find value of x A) -60. B) -63. C) -62. D) -61. Show Answer Correct Answer: B) -63. 21. X-coordinate of a point is also known as ..... A) Ordinate. B) Origin. C) Abscissa. D) Ordered pair. Show Answer Correct Answer: C) Abscissa. 22. A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the y axis. The path travelled by the man is A) X=0. B) Y = 10. C) X = 10. D) Y=0. Show Answer Correct Answer: C) X = 10. 23. What slope is parallel to:m = 4 A) -4. B) -1/4. C) 4. D) 1/4. Show Answer Correct Answer: C) 4. 24. Which of the following lines is PARALLEL to the graph of y =-6x + 3 and goes through the point (-1, 4)? A) Y = 1/6x + 4. B) Y=1/6x +25/6. C) Y =-6x-2. D) Y =-6x + 4. Show Answer Correct Answer: C) Y =-6x-2. 25. The diagonals of a rhombus are ..... A) Perpendicular and bisected. B) Perpendicular. C) Bisected. D) Congruent. Show Answer Correct Answer: A) Perpendicular and bisected. 26. X-equation of a line parallel to axis A) Y = 2x + 3. B) X = y. C) Y = 3. D) X =-3. Show Answer Correct Answer: C) Y = 3. 27. If y-coordinate of a point is zero, then this point always lies: A) On x-axis. B) In II quadrant. C) In I quadrant. D) On y-axis. Show Answer Correct Answer: A) On x-axis. 28. The diagonals of a rectangle are A) Parallel. B) Congruent. C) Perpendicular. D) Not congruent. Show Answer Correct Answer: B) Congruent. 29. The distance between the point and the points of (8, -6) A) 10. B) 100. C) $\sqrt{28}$. D) 2. Show Answer Correct Answer: A) 10. 30. In what ratio does the x-axis divide the join of A(2, -3) and B(5, 6) A) 3:5. B) 2:1. C) 1:2. D) 2:3. Show Answer Correct Answer: C) 1:2. 31. Fill in the blanks:Point (0, -7) lies ..... A) In the fourth quadrant. B) In the second quadrant. C) On the x-axis. D) On the y-axis. Show Answer Correct Answer: D) On the y-axis. 32. P is the point (16, 9) and Q is the point (22, 24). Find the equation of the line perpendicular to PQ that passes through the point (5, 1).Give your answer in the form y = mx+c. A) $y=-\frac{2}{5}x\+3$. B) $y=0.4x-3$. C) $y=-0.4x-3$. D) None of the above. Show Answer Correct Answer: A) $y=-\frac{2}{5}x\+3$. 33. The distance between origin and (-5, 12) is ..... units A) 6. B) 13. C) $\sqrt{120}$. D) 10. Show Answer Correct Answer: B) 13. 34. Point of intersection of 3x-y=4 and x + y = 8 is . A) (3, 5). B) (4, 4). C) (2, 4). D) (5, 3). Show Answer Correct Answer: A) (3, 5). 35. A (0, 0), B (2, 0) and D (0, 2) are the three summit points of the ABCD class.So.Its C summit point. A) (1, 1). B) (2, 1). C) (2, 2). D) (1, 2). Show Answer Correct Answer: C) (2, 2). 36. A point is 3 units distance from X axis and 4 units distance from negative Y axis then the point is ..... A) (4, -3). B) (-4, 3). C) (3, 4). D) (4, 3). Show Answer Correct Answer: A) (4, -3). 37. Which line is parallel to y=x-2? A) 2y=x+7. B) Y=2x+1. C) Y=3x+1. D) 2Y = 2x-6. Show Answer Correct Answer: D) 2Y = 2x-6. 38. The coordinates of the mid-point of the line segment joining the points (-4, 6) and (-4, -6). A) (-2, -6). B) (4, 0). C) (-4, 0). D) (0, -4). Show Answer Correct Answer: C) (-4, 0). 39. The slope of the line which is perpendicular to a line joining the points (0, 0) and (-8, 8) is . A) -8. B) -1. C) 1. D) 1/3. Show Answer Correct Answer: C) 1. 40. If x coordinate of a point is zero, then the point lies on: A) Second quadrant. B) Y-axis. C) X-axis. D) First quadrant. Show Answer Correct Answer: B) Y-axis. 41. The name of the horizontal line in the cartesian plane which determines the position of a point is called: A) Origin. B) Quadrants. C) Yaxis. D) X axis. Show Answer Correct Answer: D) X axis. 42. The distance between the root and r (p, q) coordinates A) $\sqrt{p^2+q^2}$. B) $q^2-p^2$. C) $\sqrt{p^2-q^2}$. D) $p^2-q^2$. Show Answer Correct Answer: A) $\sqrt{p^2+q^2}$. 43. The figure obtained by plotting the points (2, 3), (-2, 3), (-2, -3) and (2, -3) is ..... A) Rhombus. B) Rectangle. C) Trapezium. D) Square. Show Answer Correct Answer: D) Square. 44. Determine the equation of a line perpendicular to y=-3x-2 and going through the point (9, 2), in slope-intercept form. A) $y=-3x-9$. B) $y=\frac{1}{3}x-3$. C) $y=-\frac{1}{3}x-9$. D) $y=\frac{1}{3}x-1$. Show Answer Correct Answer: D) $y=\frac{1}{3}x-1$. 45. Find the distance between the points:(5, 3) (2, 3) A) 3. B) 7. C) 10. D) None of the above. Show Answer Correct Answer: A) 3. 46. Slopes of parallel lines are ..... A) The same. B) Opposite reciprocals. C) Opposites. D) Always 7. Show Answer Correct Answer: A) The same. 47. Y = 3x +2y = 3x-3These lines are ..... A) Parallel. B) Perpendicular. C) Neither. D) The same line. Show Answer Correct Answer: A) Parallel. 48. If the points P(1, 2), B(0, 0) and C(a, b) are collinear, then A) A = b. B) 2a = b. C) A = 2b. D) A =-b. Show Answer Correct Answer: B) 2a = b. 49. The equation of a line passing through the origin and perpendicular to the line 7x-3y + 4 = 0 is A) Reverse + neighborhood = 0. B) Ss-ZI = 0. C) Reverse-Live + 4 = 0. D) Ss-zi + h = 0. Show Answer Correct Answer: A) Reverse + neighborhood = 0. 50. Which option could be used to prove a quadrilateral is a rectangle? A) Both pairs of opposite sides are congruent. B) Diagonals are congruent. C) One pair of opposite sides are congruent. D) Both pairs of opposite sides are congruent and diagonals are congruent. Show Answer Correct Answer: D) Both pairs of opposite sides are congruent and diagonals are congruent. 51. The points (-4, 0), (4, 0), (0, 3) are the vertices of a A) Equilateral triangle. B) Isosceles triangle. C) Scalene triangle. D) Right triangle. Show Answer Correct Answer: B) Isosceles triangle. 52. The distance between (a, b) and (-a, -b) points. A) $\sqrt{a^2-b^2}$. B) $2\sqrt{a^2-b^2}$. C) $\sqrt{a^2+b^2}$. D) $2\sqrt{a^2+b^2}$. Show Answer Correct Answer: D) $2\sqrt{a^2+b^2}$. 53. Abscissa of a point is positive in A) I and II quadrants. B) I and IV quadrants. C) I quadrants only. D) II quadrant only. Show Answer Correct Answer: B) I and IV quadrants. 54. The distance between (-5, 7) and (-1, 3) points A) $3\sqrt{2}$. B) $4\sqrt{2}$. C) $2\sqrt{2}$. D) $\sqrt{2}$. Show Answer Correct Answer: B) $4\sqrt{2}$. 55. If I am trying to prove that a triangle is scalene, what formula would I need to use and how many times do I need to use it? A) Slope, 2. B) Distance, 2. C) Slope 3. D) Distance, 3. Show Answer Correct Answer: D) Distance, 3. 56. The distance between (5, -2) and (1, 1) is ..... units A) 4. B) 5. C) $\sqrt{20}$. D) 3. Show Answer Correct Answer: B) 5. 57. Find the center of a circle if the endpoints of the diameter are at (-12, -7) and (3, 5). A) (-4.5, -1). B) (-7.5, -6). C) (7.5, 6). D) (4.5, 1). Show Answer Correct Answer: A) (-4.5, -1). 58. Say 'TRUE' or 'FALSE'Point (1, -1) and (-1, 1) lies in the same quadrant A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 59. Ordinate of all points on the x-axis is ..... A) 3. B) 1. C) 2. D) 0. Show Answer Correct Answer: D) 0. 60. The ordered pair (0, 0) is also known as the ..... A) Home. B) X-axis. C) Y-axis. D) Origin. Show Answer Correct Answer: D) Origin. ← PreviousNext →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 7 Coordinate Geometry Quiz 1Class 10 Maths Chapter 7 Coordinate Geometry Quiz 3Class 10 Maths Chapter 7 Coordinate Geometry Quiz 4 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books