Three Dimensional Geometry  MCQs

MCQs of Three Dimensional Geometry

Showing 1 to 10 out of 188 Questions
1.
The equation of the line passing through origin with direction angles 2π3,π4,π3 is _____
(a) x = y-2 = z
(b) x -1= y-2 = z
(c) x = y-2 = -z
(d) x = y2 = z
Answer:

Option (c)

2.
Line passing through (3, 4, 5) and (4, 5, 6) has direction cosines _____
(a) 1, 1, 1
(b) 3, 3,3
(c) 13, 13,13
(d) 7, 9, 11
Answer:

Option (c)

3.
Lines x 2=y 1=z3 and x-2 2=y+1 1=3-z-3 are _____ lines.
(a) parallel
(b) perpendicular
(c) coincident
(d) intersecting in an acute angle
Answer:

Option (a)

4.
Line through origin and parallel to Y-axis is _____
(a) x1 = y0 = z0
(b) x0 = y1 = z0
(c) x1 = y0 = z1
(d) x1 = y1 = z0
Answer:

Option (b)

5.
The measure of the angle between the lines x = k +1, y = 2k - 1, z = 2k + 3, kR and  x - 12=y + 11= z-1-2 is _____
(a) sin-1 43
(b) cos-1 49
(c) sin-1 53
(d) π2
Answer:

Option (d)

6.
A normal to the plane x = 2 is _____
(a) ( 0, 1, 1)
(b) (2, 0, 2)
(c) (1, 0, 0)
(d) (0, 1, 0)
Answer:

Option (c)

7.
Direction of the line perpendicular to the plane 3x - 4y + 7z = 2 and passing through (-1, 2, 4) is _____.
(a) (3, 4, 7)
(b) (4, -6, 3)
(c) (-3, 4, -7)
(d) (-1, 2, 4)
Answer:

Option (c)

8.
Perpendicular distance of origin from the plane r·(12, -4, 3) =65 is _____
(a) 65
(b) 5
(c) -5
(d) 513
Answer:

Option (b)

9.
Plane 2x + 3y + 6z - 15 = 0 makes angle of measure _____ with X - axis.
(a) cos-1357
(b) sin-137
(c) sin-127
(d) tan-127
Answer:

Option (a)

10.
Perpendicular distance between the planes 2x - y + 2z = 1 and 4x - 2y + 4z = 1 is _____.
(a) 13
(b) 3
(c) 16
(d) 6
Answer:

Option (c)

Showing 1 to 10 out of 188 Questions