Three Dimensional Geometry Test! Trivia Quiz
15 Questions
| Total Attempts: 283
(40).jpg "Three Dimensional Geometry Test! Trivia Quiz")
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Questions and Answers
- 1.Find the length of the perpendicular drawn from the origin to the plane 2x-3y + 6z + 21 = 0.
- A.
3
- B.
4
- C.
5
- D.
6
- 2.Write the direction cosines of the vector -2i + j – 5k
- A.
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- B.
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- C.
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- D.
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- 3.
![Find the coordinates of the point, where the line intersects the plane x – y + z – 5 = 0. Also find the angle between the line & the plane. - ProProfs]( "Find the coordinates of the point, where the line intersects the plane x – y + z – 5 = 0. Also find the angle between the line & the plane.")
Find the coordinates of the point, where the line intersects the plane x – y + z – 5 = 0. Also find the angle between the line & the plane.- A.
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- B.
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- C.
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- D.
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- 4.If a line makes angles 900, 1350, 450 with x, y, and z-axes respectively, find its direction cosines.
- A.
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- B.
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- C.
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- D.
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- 5.
![Find the vector equation of the plane which contains the line of intersection of the planes
& which is perpendicular to the plane
- ProProfs]( "Find the vector equation of the plane which contains the line of intersection of the planes
& which is perpendicular to the plane")
Find the vector equation of the plane which contains the line of intersection of the planes & which is perpendicular to the plane- A.
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- B.
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- C.
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- D.
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- 6.There are two lines in which one line is passing through the points (4, 7, 8) (2, 3, 4) & another line is passing through the points (-1, -2, 1), (1, 2, 5). What is true regarding these lines?
- A.
AB is parallel to CD
- B.
AB is perpendicular to CD
- C.
AB is inclined to CD at certain angle
- D.
None of these
- 7.
![Find the angle between the following pair of lines:
- ProProfs]( "Find the angle between the following pair of lines:")
Find the angle between the following pair of lines:- A.
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- B.
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- C.
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- D.
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- 8.
![Find the Cartesian equation of the line which passes through the point (-2, 4, -5) and is parallel to the line:
- ProProfs]( "Find the Cartesian equation of the line which passes through the point (-2, 4, -5) and is parallel to the line:")
Find the Cartesian equation of the line which passes through the point (-2, 4, -5) and is parallel to the line:- A.
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- B.
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- C.
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- D.
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- 9.Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x – y + z = 0
- A.
X - z - 2 = 0
- B.
X -y + 2 = 0
- C.
X - z + 2 = 0
- D.
Y - z + 2 = 0
- 10.Find the coordinates of the point where the line through (3, -4, -5) and (2, -3, 1) crosses the plane, passing through the points (2, 2, 1), (3, 0, 1) and (4, -1, 0).
- A.
(1, -2, 7)
- B.
(1, 2, 7)
- C.
(1, -2, 5)
- D.
(2, -2, 7)
- 11.
![Find the Cartesian equation of the plane which contains the line of intersection of the planes
- ProProfs]( "Find the Cartesian equation of the plane which contains the line of intersection of the planes")
Find the Cartesian equation of the plane which contains the line of intersection of the planes- A.
33x +45y + 50z - 41 = 0
- B.
33x + 45y + 50z - 41 = 0
- C.
X + 45y + 50z - 41 = 0
- D.
33x + y + 50z - 41 = 0
- 12.
![Show that the lines
are intersecting. Hence find their point of intersection. - ProProfs]( "Show that the lines
are intersecting. Hence find their point of intersection.")
Show that the lines are intersecting. Hence find their point of intersection.- A.
(-1, -6, 12)
- B.
(-1, 6, -12)
- C.
(1, -6, -12)
- D.
(-1, -6, -12)
- 13.Find the vector equation of the plane through the points (2, 1,-1) and (-1, 3, 4) and perpendicular to the plane x -2y+ 4z = 10.
- A.
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- B.
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- C.
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- D.
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- 14.
![Find the shortest distance between the lines:
- ProProfs]( "Find the shortest distance between the lines:")
Find the shortest distance between the lines:- A.
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- B.
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- C.
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- D.
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- 15.
![Find the equation of the plane passing through the line of intersection of the planes
whose perpendicular distance from origin is unity. - ProProfs]( "Find the equation of the plane passing through the line of intersection of the planes
whose perpendicular distance from origin is unity.")
Find the equation of the plane passing through the line of intersection of the planes whose perpendicular distance from origin is unity.- A.
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- B.
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- C.
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- D.
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