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Class 11 Mathematics Chapter 12 Introduction To Three Dimensional Geometry Quiz 3 (25 MCQs)

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1. The X-axis and Z-axis taken together determine a plane known as
2. A shape with four equal and straight sides is called:
3. Find the direction cosines of the vector normal to the plane 5x + y-3z =-6
4. What shape is a block?
5. What are direction cosines of a line?
6. Identify the net of a cube from the given options:a) b) c)
7. A shape with no side or angles is called
8. Find the locus of a point P which is equidistant from two points ( 1, 0, 0 ) and (-1, 0, 0 )
9. 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
10. The coordinates of the foot of the perpendicular from a point P(6, 7, 8) on x-axis are
11. 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 ).
12. What is the surface area of a cube with side length 9 cm?
13. State the octant in which the point P whose co-ordinates are (3, -4, 2) lie.
14. X-axis is the intersection of two planes
15. What do skew lines in space contain?
16. What is the angle between skew lines?
17. Name a 3D shape that has 6 faces-only 2 that are squares.
18. The lenght of the perpendicuiar drawn from the point P(3, 4, 5) on y-axis is
19. L is the foot of the perpendicular drawn from a point P (3, 4, 5) on the xy-plane. The coordinates of point L are
20. What is the length of foot of perpendicular drawn from the point P (3, 4, 5) on y-axis
21. The locus represented by xy + yz = 0 is:
22. The line x = 1, y = 2 is
23. The ratio in which the line joining (2, 4, 5) and (3, 5, -9) is divided by the yz-plane is
24. State the octant in which the point P whose co-ordinates are (-4, -5, 3) lie.
25. Direction ratios of the two lines are 3, 4, 5 and 4, -3, 5. Find the angle between them.
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