This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 12 Introduction To Three Dimensional Geometry – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 12 Introduction To Three Dimensional Geometry Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the name of a 3D shape that has 6 faces, all of which are squares? A) Cylinder. B) Pyramid. C) Cube. D) Sphere. Show Answer Correct Answer: C) Cube. 2. A plane is parallel to yz-plane so it is perpendicular to: A) X-axis. B) Y-axis. C) Z-axis. D) None of these. Show Answer Correct Answer: A) X-axis. 3. The x-axis and y-axis taken together determine a plane known as A) XY-plane. B) YZ-plane. C) XZ-plane. D) XYZ-plane. Show Answer Correct Answer: A) XY-plane. 4. What is the formula for the direction cosines of a line segment joining two points P(x1, y1, z1) and Q(x2, y2, z2)? A) (x1-x2) / PQ, (y1-y2) / PQ, (z1-z2) / PQ. B) (x2-x1) / PQ, (y2-y1) / PQ, (z2-z1) / PQ. C) PQ / (x2-x1), PQ / (y2-y1), PQ / (z2-z1). D) (x2 + x1) / PQ, (y2 + y1) / PQ, (z2 + z1) / PQ. Show Answer Correct Answer: B) (x2-x1) / PQ, (y2-y1) / PQ, (z2-z1) / PQ. 5. Distance of the plane 2x-3y + 4z-6 = 0 from the origin is A) $\frac{4}{\sqrt{29}}$. B) $\frac{6}{\sqrt{29}}$. C) $\frac{2}{\sqrt{29}}$. D) None of these. Show Answer Correct Answer: B) $\frac{6}{\sqrt{29}}$. 6. Which octant do the point (-5, 4, 3) lie? A) Octant III. B) Octant I. C) Octant IV. D) Octant II. Show Answer Correct Answer: D) Octant II. 7. Two storage boxes with the same length and different heights and widths are shown below. What is the total volume, in cubic inches, of both storage boxes? A) 57$^{1}$/$_{2}$ cubic inches. B) 97$^{1}$/$_{2}$ cubic inches. C) 95 cubic inches. D) 23$^{1}$/$_{2}$ cubic inches. Show Answer Correct Answer: B) 97$^{1}$/$_{2}$ cubic inches. 8. Find the equation of the line passing through the point (-1, 7, 2) and perpendicular to the plane 3x-y + 4z = 11. A) $\frac{x+1}{3}=\frac{y+7}{-1}=\frac{z-2}{4}$. B) $\frac{x+1}{3}=\frac{y-7}{1}=\frac{z-2}{4}$. C) $\frac{x+1}{3}=\frac{y-7}{-1}=\frac{z-2}{4}$. D) None of these. Show Answer Correct Answer: C) $\frac{x+1}{3}=\frac{y-7}{-1}=\frac{z-2}{4}$. 9. The point (-2, -3, -4) lies in the A) Second octant. B) First octant. C) Seventh octant. D) Eighth octant. Show Answer Correct Answer: C) Seventh octant. 10. The length of a building is 60 feet. The length of the building on a scale drawing is 4 inches. Which ratio describes the scale of the drawing? A) 1 inch:15 feet. B) 1 inch:4 feet. C) 1 inch:30 feet. D) 1 inch:60 feet. Show Answer Correct Answer: A) 1 inch:15 feet. 11. The distance of point P(3, 4, 5) from the yz plane is A) 12 units. B) 5 units. C) 3 units. D) 4 units. Show Answer Correct Answer: C) 3 units. 12. I am a Solid shape. I have two flat and one curved face. I have two curved edges and no corner. Who am I? A) Cube. B) Sphere. C) Cylinder. D) Cone. Show Answer Correct Answer: C) Cylinder. 13. The coordinates of a point are (-2, 0, 3), the point lies on A) XY-plane. B) XZ-plane. C) Y-axis. D) YZ-plane. Show Answer Correct Answer: B) XZ-plane. 14. The point of intersection of the line $\frac{x-1}{3}=\frac{y+2}{4}=\frac{z-3}{-2}$ A) (10, -10, 3). B) (10, -10, -3). C) (10, 10, -3). D) (-10, 10, 3). Show Answer Correct Answer: C) (10, 10, -3). 15. If direction cosines of a line are $\frac{1}{a}, \frac{1}{a}, \frac{1}{a}$ A) $\sqrt{3}$. B) $-\sqrt{3}$. C) $\pm\sqrt{3}$. D) None of these. Show Answer Correct Answer: C) $\pm\sqrt{3}$. 16. Coordinate planes divide the space into ..... octants. A) 6. B) 10. C) 8. D) 4. Show Answer Correct Answer: C) 8. 17. Which 2D shape has no sides and is not a polygon? A) Circle. B) Sphere. C) Pentagon. D) Square. Show Answer Correct Answer: A) Circle. 18. The vector equation of x-axis is A) $\overrightarrow{r}=i$. B) $\overrightarrow{r}=j+k$. C) $\overrightarrow{r}=\lambda i$. D) None of these. Show Answer Correct Answer: C) $\overrightarrow{r}=\lambda i$. 19. In a three dimensional space, the equation 3x-4y = 0 represents A) A plane containing Y axis. B) None of these. C) A plane containing Z axis. D) A plane containing X axis. Show Answer Correct Answer: C) A plane containing Z axis. 20. Which set of measurements could be the lengths of three segments that form a triangle? A) 7 cm, 2 cm, 6 cm. B) 2 cm, 2 cm, 5 cm. C) 6 cm, 2 cm, 8 cm. D) 5 cm, 9 cm, 3 cm. Show Answer Correct Answer: A) 7 cm, 2 cm, 6 cm. 21. Find the coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the x z-plane A) (17/3, 0, 23/3). B) (17/3, 0, -23/3). C) (-17/3, 0, -23/3). D) (-17/3, 0, 23/3). Show Answer Correct Answer: A) (17/3, 0, 23/3). 22. Determine the approximate height of a cone with volume 124 in$^{3 }$and radius 7 in. A) 2.4 in. B) 17.1 inTags3 Dimensional-Volume. C) 16.9 in. D) 8.1 in. E) 7.6 in. Show Answer Correct Answer: A) 2.4 in. 23. Any point on YZ-plane will be of the form A) (x, 0, 0). B) (y, z, 0). C) (y, 0, z). D) (0, y, z). Show Answer Correct Answer: D) (0, y, z). 24. The XY-plane, YZ-plane and XZ-plane are A) Parallel to each other. B) Mutually perpendicular to each other. C) Only two planes are perpendicular. D) None of above. Show Answer Correct Answer: B) Mutually perpendicular to each other. 25. What is the significance of direction ratios in three-dimensional geometry? A) They indicate the orientation of the line. B) They are always positive integers. C) They determine the length of the line. D) They are used to calculate the area of a triangle. Show Answer Correct Answer: A) They indicate the orientation of the line. 26. Distance between the two planes:2x + 3y + 4z = 4 and 4x + 6y + 8z = 12 is A) 2 units. B) 4 units. C) 8 units. D) None of these. Show Answer Correct Answer: D) None of these. 27. What is a diagonal? A) A line which joins opposite corners. B) A line which joins two adjacent corners. C) A line which joins two opposite sides. D) A line which joins two adjacent sides. Show Answer Correct Answer: A) A line which joins opposite corners. 28. If the lines $\frac{x-1}{-3}=\frac{y-2}{2k}=\frac{z-3}{2}$ $\frac{x-1}{3k}=\frac{y-1}{1}=\frac{z-6}{-5}$ A) -5/7. B) -10/7. C) 10/7. D) 5/7. Show Answer Correct Answer: B) -10/7. 29. Find direction cosines of Z-axis A) 0, 1, 0. B) 0, 0, 1. C) 1, 0, 0. D) 0, 0, -1. Show Answer Correct Answer: B) 0, 0, 1. 30. The coordinates of a point are (3, 0, 0), the point lies on A) X-axis. B) Y-axis. C) Z-axis. D) None of these. Show Answer Correct Answer: A) X-axis. 31. The point (-1, 2, -3 ) lies in the: A) . 5th Octant. B) . 8th Octant. C) . 6th Octant. D) . 7th Octant. Show Answer Correct Answer: D) . 7th Octant. 32. Find the image of the point in the specified plane:(-3, 4, 7) in the YZ-plane A) (-3, -4, 7). B) (-3, -4, -7). C) (3, 4, 7). D) (3, -4, 7). Show Answer Correct Answer: A) (-3, -4, 7). 33. Find the circumference of a circle that has a radius of 3ft. A) About 18.84 ft. B) About 10 ft. C) About 9 ft. D) About 16.26 ft. Show Answer Correct Answer: A) About 18.84 ft. 34. L is the foot of the perpendicular drawn from a point (3, 4, 5) on x-axis. The coordinates of L are A) (3, 0, 0). B) (0, 4, 0). C) (0, 0, 5). D) None of these. Show Answer Correct Answer: A) (3, 0, 0). 35. Which are the examples of objects in cone shape? A) A Christmas tree only. B) A birthday cap only. C) An ice cream cone only. D) All of the above. Show Answer Correct Answer: D) All of the above. 36. A plane is parallel to xy plane so it is perpendicular to A) Z-axis. B) Y-axis. C) X-axis. D) None of these. Show Answer Correct Answer: A) Z-axis. 37. Which of the following nets can be folded to form a cube? a) b) c) A) . B) . C) . D) . Show Answer Correct Answer: A) . 38. What is the relationship between direction cosines and direction ratios? A) Direction cosines can be negative only. B) Direction ratios are proportional to direction cosines. C) Direction ratios are always positive. D) Direction cosines are always integers. Show Answer Correct Answer: B) Direction ratios are proportional to direction cosines. 39. The point is in the XZ plane. What can you say about its y-coordinate? A) 0. B) 1. C) 2. D) 3. Show Answer Correct Answer: A) 0. 40. Which of the following sets of three angle measures could be used to construct a triangle? A) 30$^\circ$, 40$^\circ$, 50$^\circ$. B) 45$^\circ$, 45$^\circ$, 45$^\circ$. C) 50$^\circ$, 60$^\circ$, 70$^\circ$. D) 70$^\circ$, 80$^\circ$, 90$^\circ$. Show Answer Correct Answer: C) 50$^\circ$, 60$^\circ$, 70$^\circ$. 41. Identify the net of a cylinder from the given options:a) b) c) A) . B) . C) . D) . Show Answer Correct Answer: A) . 42. Find the distance of the point (2, 3, -5) from the plane x + 2y-2z = 9 A) 1 units. B) 0.5 units. C) 2 units. D) 3 units. Show Answer Correct Answer: D) 3 units. 43. The distance of a point (2, 5, 7) from X axis is A) $\sqrt{74}$. B) $\sqrt{53}$. C) 2. D) $\sqrt{29}$. Show Answer Correct Answer: A) $\sqrt{74}$. 44. In which 2D shape, we can draw diagonals? A) Cube. B) Triangle. C) Circle. D) Square. Show Answer Correct Answer: D) Square. 45. Find the image of (-2, 3, 4) in the y z plane. A) (2, 3, 4). B) (-2, -3, -4). C) (-2, 3, 4). D) (-2, -3, 4). Show Answer Correct Answer: A) (2, 3, 4). 46. A point is in the XZ-plane. Then its y-coordinate is A) Negative. B) Positive. C) 0. D) Can't say. Show Answer Correct Answer: C) 0. 47. I am a 3D shape, I have one flat and one curved face. I have a curved edge and no corner. My highest tip is called an apex. Who am I? A) Cube. B) Cylinder. C) Cone. D) Cuboid. Show Answer Correct Answer: C) Cone. 48. The X-axis and Z-axis taken together determine a plane known as A) XZ-plane. B) YZ-plane. C) XY-plane. D) None of these. Show Answer Correct Answer: A) XZ-plane. 49. A shape with four equal and straight sides is called: A) Rectangle. B) Square. C) Circle. D) Triangle. Show Answer Correct Answer: B) Square. 50. Find the direction cosines of the vector normal to the plane 5x + y-3z =-6 A) -5, -1, 3. B) 5, -1, 3. C) -5, 1, -3. D) 5, 1, 3. Show Answer Correct Answer: A) -5, -1, 3. 51. What shape is a block? A) Rectangular prism. B) Cube. C) Rectangle. D) Square. Show Answer Correct Answer: B) Cube. 52. What are direction cosines of a line? A) The lengths of the line segments. B) The ratios of the coordinates of the line. C) The slopes of the line in three-dimensional space. D) The angles made by the line with the coordinate axes. Show Answer Correct Answer: D) The angles made by the line with the coordinate axes. 53. Identify the net of a cube from the given options:a) b) c) A) E. B) D. C) A. D) B. Show Answer Correct Answer: C) A. 54. A shape with no side or angles is called A) Rectangle. B) Square. C) Triangle. D) Circle. Show Answer Correct Answer: D) Circle. 55. Find the locus of a point P which is equidistant from two points ( 1, 0, 0 ) and (-1, 0, 0 ) A) . x=0. B) . x=1. C) . x=2. D) . x=-1. Show Answer Correct Answer: A) . x=0. 56. Find the coordinates of the point where the line through the points (3, -4, -5) and (2, -3, 1) crosses the plane 3x + 2y + z =-14 A) (5, -6, -17). B) (5, -6, 17). C) (5, 6, 17). D) (-5, -6, 17). Show Answer Correct Answer: A) (5, -6, -17). 57. The coordinates of the foot of the perpendicular from a point P(6, 7, 8) on x-axis are A) . ( 0, 0, 8 ). B) . ( 0, 7, 8 ). C) . ( 6, 0, 0 ). D) . ( 0, 7, 0 ). Show Answer Correct Answer: C) . ( 6, 0, 0 ). 58. Find a point P on the line segment AB such that P divides AB internally in the ratio 2:1, where A ( 1, 2, 3 ) and B (-8, -5, -3 ). A) (5, -8/3, 1 ). B) (-5, -8/3, -1 ). C) (5, -8/3, -1 ). D) (5, 8/3, 1 ). Show Answer Correct Answer: B) (-5, -8/3, -1 ). 59. What is the surface area of a cube with side length 9 cm? A) 81 cm$^{2}$. B) 486 cm$^{2}$. C) 294 cm$^{2}$. D) 54 cm$^{2}$. Show Answer Correct Answer: B) 486 cm$^{2}$. 60. State the octant in which the point P whose co-ordinates are (3, -4, 2) lie. A) 3rd octant. B) 4th octant. C) 5th octant. D) None of the above. Show Answer Correct Answer: B) 4th octant. Next →Related QuizzesScience QuizzesClass 11 QuizzesClass 11 Mathematics Chapter 12 Introduction To Three Dimensional Geometry Quiz 2Class 11 Mathematics Chapter 1 Sets QuizClass 11 Mathematics Chapter 10 Straight Lines QuizClass 11 Mathematics Chapter 11 Conic Sections QuizClass 11 Mathematics Chapter 13 Limits And Derivatives QuizClass 11 Mathematics Chapter 14 Mathematical Reasoning QuizClass 11 Mathematics Chapter 15 Statistics QuizClass 11 Mathematics Chapter 16 Probability Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books