This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Coordinate Geometry > Class 10 Maths Chapter 7 Coordinate Geometry – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 7 Coordinate Geometry Quiz 4 (56 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If the distance between the points (4, p) and (1, 0) is 5 then the value of p is A) 4 only. B) $\pm4$. C) 0. D) -4. Show Answer Correct Answer: B) $\pm4$. 2. Which line(s) are parallel to y=3x+1 A) Y=-3x-1. B) Y=-1/3+3. C) Y=3x. D) None of them. Show Answer Correct Answer: C) Y=3x. 3. If slope of the line PQ is $\frac{1}{\sqrt[]{3}}$ A) $\sqrt[]{3}$. B) 0. C) $\frac{1}{\sqrt[]{3}}$. D) -$\sqrt[]{3}$. Show Answer Correct Answer: D) -$\sqrt[]{3}$. 4. What slope is perpendicular to:m = 5/8 A) -8/5. B) -5/8. C) 8/5. D) 5/8. Show Answer Correct Answer: A) -8/5. 5. The set of points which are at a constant distance of r units from a fixed point O is called a circle with centre O and radius=r units. State whether the given statement is true or false A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 6. Which of the following is NOT true for a rectangle? A) All four angles are right angles. B) Diagonals are perpendicular. C) Diagonals are congruent. D) Diagonals bisect each other. Show Answer Correct Answer: B) Diagonals are perpendicular. 7. The point P which divides the line segment joining the points A(2, -5) and b(5, 2) in the ratio 2:3 lies in the quadrant A) III. B) II. C) IV. D) I. Show Answer Correct Answer: C) IV. 8. The ratio that centroid divide any median is A) 1:2. B) 2:1. C) 3:1. D) 1:1. Show Answer Correct Answer: B) 2:1. 9. Name the mathematician who developed the theory of Coordinate geometry. A) PYTHAGORA. B) Rene Descartes. C) Srinivas Ramanujan. D) Newton. Show Answer Correct Answer: B) Rene Descartes. 10. If Q(0, 1) is equidistant from P(5, -3) and R(x, 6). Find value of x A) 3, -3. B) +4, -4. C) 5, -5. D) 4. Show Answer Correct Answer: B) +4, -4. 11. A straight line has equation 8y = 4x + 21. Which of the following is true? A) The slope is 0.5 and the y intercept is 2.6. B) The slope is 5 and the y intercept is 1.6. C) The slope is 0.5 and the y intercept is 1.6. D) The slope is 5 and the y intercept is 2.6. Show Answer Correct Answer: A) The slope is 0.5 and the y intercept is 2.6. 12. X-Akshara (5, -2) Distance to the point and the distance from y-anxiety (3, 4) to the point ..... and ..... A) 1 and 2 humans. B) 2 and 3 humans. C) 3 and 5 humans. D) 4 and 7 humans. Show Answer Correct Answer: B) 2 and 3 humans. 13. Which graph is parallel to x-axis? A) Y=2. B) X=2y. C) X=3. D) Y = x+1. Show Answer Correct Answer: A) Y=2. 14. Angle between the axes is ..... A) 90$^{0}$. B) 180$^{0}$. C) 45$^{0}$. D) 100$^{0}$. Show Answer Correct Answer: A) 90$^{0}$. 15. What is the midpoint between (3, -1) and (7, -5) A) (10, -6). B) (5, -2). C) (5, -3). D) (2, -2). Show Answer Correct Answer: C) (5, -3). 16. The distance between (4, -3) and (4, 7) is ..... units A) 0. B) 5. C) 4. D) 10. Show Answer Correct Answer: D) 10. 17. If A is a point on the Y axis whose ordinate is 8 and B is a point on the X axis whose abscissae is 5 then the equation of the line AB is A) Dhakx-Kha = 40. B) X = 8. C) Dax + oh = 40. D) Y = 5. Show Answer Correct Answer: C) Dax + oh = 40. 18. The midpoint of the lines segment AB is P(0, 4). If the coordinates of B are (-2, 3), then the coordinates of A are A) (2, 9). B) (2, 5). C) (-2, 11). D) (-2, -5). Show Answer Correct Answer: B) (2, 5). 19. Find the ratio in which the line joining the points (6, 4) and (1, -7) is divided by x-axis. A) 1:3. B) 4:7. C) 6:7. D) 2:7. Show Answer Correct Answer: B) 4:7. 20. Find the gradient of all lines parallel to $y=\frac{3}{4}x+\frac{1}{4}$ A) $m=-4$. B) $m=\frac{3}{4}$. C) $m=\frac{1}{4}$. D) $m=-\frac{4}{3}$. Show Answer Correct Answer: B) $m=\frac{3}{4}$. 21. What is the y-intercept of the straight line with equation:4x-5y-15 = 0? A) 3. B) -3. C) $-\frac{4}{5}$. D) $\frac{4}{5}$. Show Answer Correct Answer: B) -3. 22. The coordinates of the points P and Q are respectively (4, -3) and (-1, 7). Find the abscissa of a point R on the line segment PQ such that PR/PQ =3/5. A) 3. B) 2. C) 5. D) 1. Show Answer Correct Answer: D) 1. 23. A is the point (8, 5) and B is the point (-4, 1). Calculate the length of AB. A) 11.56. B) 12.56. C) 12.6. D) None of the above. Show Answer Correct Answer: C) 12.6. 24. Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5) A) (0, -1). B) (6, 1). C) (0, 1). D) (1, 6). Show Answer Correct Answer: B) (6, 1). 25. The equation of a straight line is 2y = 3x+4.Find the co-ordinates of the point where the line crosses the y-axis ..... A) (2, 0). B) (0, 2). C) (0, -2). D) None of the above. Show Answer Correct Answer: B) (0, 2). 26. A straight line joins the points A (-2, -3) and C (1, 9).Find the equation of the line AC in the form y = mx + c. A) $y=4x+5$. B) $y=4x$. C) $y=4x-5$. D) None of the above. Show Answer Correct Answer: A) $y=4x+5$. 27. If the gradient of the line passing through the points (-1, 4) and (3, c) is-1.5, find the value of c. A) 3. B) 0. C) 2.5. D) -2. Show Answer Correct Answer: D) -2. 28. In what ratio does the y-axis divide the line segment joining the point P (4, 5) and Q (3, -7)? A) 4:9. B) 3:4. C) 4:3. D) None. Show Answer Correct Answer: C) 4:3. 29. Mirror image of the point (9, -8) in y-axis is A) (-9, 8). B) (9, 8). C) (-8, 9). D) (-9, -8). Show Answer Correct Answer: D) (-9, -8). 30. Find the coordinates of the point equidistant from the points A(1, 2), B (3, -4) and C(5, -6). A) (-1, -2 ). B) ( 2, 3 ). C) ( 0, 3 ). D) ( 1, 3 ). Show Answer Correct Answer: A) (-1, -2 ). 31. A straight line joins the points A (-2, -3) and C (1, 9).Calculate the length of AC. A) 12.4. B) 13. C) 14.2. D) None of the above. Show Answer Correct Answer: A) 12.4. 32. If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order then values of x, y are A) (1, 1). B) 3, 2. C) 6, 3. D) -6, -3. Show Answer Correct Answer: C) 6, 3. 33. Find the distance between C (0, -2) and D (0, 5) A) 7. B) $\sqrt{48}$. C) $\sqrt{51}$. D) 5. Show Answer Correct Answer: A) 7. 34. Which line is perpendicular to y = 2x-7? A) Y = $^{1} $/$ _ {2} $ x-7. B) Y =-2x + 8. C) Y = 2x-3. D) Y = $^{-1} $/$ _ {2} $ x + 2. Show Answer Correct Answer: D) Y = $^{-1} $/$ _ {2} $ x + 2. 35. Name the type of quadrilateral formed by the points (-1, -2), (1, 0), (-1, 2) and (-3, 0) A) Rectangle. B) Rhombus. C) General Quadrilateral. D) Square. Show Answer Correct Answer: D) Square. 36. The distance between the point P(1, 4) and Q(4, 0) is A) 4. B) 6. C) 5. D) 7. Show Answer Correct Answer: C) 5. 37. If the distance between the points A(4, p) and B(1, 0) is 5 then A) P=-4 only. B) P= $\pm4$. C) P=4 only. D) P=0. Show Answer Correct Answer: B) P= $\pm4$. 38. What is the midpoint between (-4, 4) and (-2, 2)? A) (-3, 3). B) (3, 2). C) (6, 7). D) (4, 5). Show Answer Correct Answer: A) (-3, 3). 39. The point (-5, 6) is on a circle with center (-1, 3) write the equation of the circle A) (x-1) $^{2} $ + (y + 3) $^{2} $ = 25. B) (x + 5) $^{2} $ + (y-0) $^{2} $ = 25. C) (x + 1) $^{2} $ + (y-3) $^{2} $ = 25. D) (x + 1) $^{2} $ + (y-3) $^{2} $ = 4000. Show Answer Correct Answer: C) (x + 1) $^{2} $ + (y-3) $^{2} $ = 25. 40. If you are proving that two diagonals are bisected, how many times will you have to use the midpoint formula? A) 1. B) 2. C) 4. D) 3. Show Answer Correct Answer: B) 2. 41. How do we prove a triangle is a right triangle? A) Prove all sides are different lenghts. B) Show that the three sides satisfy the pythagorean theorem. C) Show that opposite angles are congruent. D) Show that two sides are congruent. Show Answer Correct Answer: B) Show that the three sides satisfy the pythagorean theorem. 42. When proving that a quadrilateral is a trapezium, it is necessary to show ..... A) The slopes of two sides. B) Two parallel and two non-parallel sides. C) The lengths of all sides. D) All sides are of equal lengths. Show Answer Correct Answer: B) Two parallel and two non-parallel sides. 43. The point whose ordinate is 4 and which lies on y-axis is ..... A) (1, 4). B) (2, 4). C) (0, 4). D) (4, 0). Show Answer Correct Answer: C) (0, 4). 44. What is the distance of the point (-3, -4) from x axis A) 3. B) 12. C) 4. D) 7. Show Answer Correct Answer: C) 4. 45. Which is the example of geometrical line? A) Blackboard. B) Sheet of paper. C) Meeting place of two walls. D) Tips of sharp pencil. Show Answer Correct Answer: C) Meeting place of two walls. 46. Which point lies on y-axis? A) (-2, -3). B) (5, 2). C) (1, 3). D) (0, 3). Show Answer Correct Answer: D) (0, 3). 47. Mid-point of the line-segment joining the points (-5, 4) and (9, -8) is ..... A) (-2, 2). B) (7, -6). C) (-7, 6). D) (2, -2). Show Answer Correct Answer: D) (2, -2). 48. Which option could be used to prove a quadrilateral is a parallelogram? 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: A) Both pairs of opposite sides are congruent. 49. 10 ).The co-ordinates of the point of intersection of the x-axis and y-axis is ..... A) (1, 0). B) (0, 1). C) (0, 0). D) (1, 1). Show Answer Correct Answer: C) (0, 0). 50. Find the distance between (1, 3) and (5, 6) A) 5. B) 3. C) 6. D) 4. Show Answer Correct Answer: A) 5. 51. If A(2, 0), B(p, -2) and C(-1, 1) and D(3, r) are vertices of a parallelogram ABCD, calculate the value of p and of r. A) P=-2, r=3. B) P=2, r=-3. C) P=1, r=0. D) P=1/2, r=-1/2. Show Answer Correct Answer: A) P=-2, r=3. 52. The point which divides the line segment joining (4, -3) and (8, 5) in the ratio 3:1 internally is A) (7, -3). B) (7, 3). C) (4, 2). D) (3, 7). Show Answer Correct Answer: B) (7, 3). 53. The straight line given by the equation x=11 A) Parallel to x axis. B) Parallel to y axis. C) Passing through origin. D) Passing through (0, 11). Show Answer Correct Answer: B) Parallel to y axis. 54. What is the Point O also known as A) Coordinates. B) Quadrant. C) Plane. D) Origin. Show Answer Correct Answer: D) Origin. 55. What is the gradient of a linear graph that is perpendicular to the line with equation 11x-6y-5 = 0? A) $\frac{11}{6}$. B) $\frac{6}{11}$. C) $-\frac{6}{11}$. D) $-\frac{11}{6}$. Show Answer Correct Answer: A) $\frac{11}{6}$. 56. Slopes of perpendicular lines are ..... A) Opposites. B) Reciprocals. C) Identical. D) Opposite reciprocals. Show Answer Correct Answer: D) Opposite reciprocals. ← PreviousRelated 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 3 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books