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3D GEOMETRY MCQ
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The pdf contains multiple type questions on the topic THREE DIMENTIONAL GEOMETRY. The pdf contains the most important questions and covers all the topics in depth. Answers have been also given on the last page.

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Document information

  • June 6, 2023
  • 16
  • 2022/2023
  • Exam (elaborations)
  • Questions & answers

Subjects

  • 3d geometry
  • maths
  • mathematics
  • mcq
  • answers
  • test
  • revise
  • qampa

Written for

  • Secondary school
  • Mathematics
  • 5
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CHAPTER – 11 (THREE DIMENSION GEOMETRY)
MULTIPLE CHOICE QUESTIONS
Sl. No Questions
1 Direction ratio of line are (4,2, -4) then direction cosine of line is:
2 1 2
(a) , , −
3 3 3

2 1 2
(b) − , ,
3 3 3

4 1 4
(c) , , −
3 3 3

4 1 2
(d) − , ,
3 3 3

2 If the points A(2,3,4) B(-1,-2,1) and C(x,y,z) are collinear then coordinates of point C is
(a) (8,5,7)
(b) (5,8,7)
(c) (-5,8,7)
(d) (8,-5,7)
3 Equation of y-axis in space are
(a) x = 0,y = 0

(b) x = 0,z = 0

(c) y = 0, z = 0

(d) y = 0

4 ⃗ ̂ ̂ ̂
Distance of plane .(2 + 3 − 6 ) + 2 = 0 from origin is
r i j k
(a) 2
(b) 14
2
(c)
7




ZIET, BHUBANESWAR Page 1

, 2
(d) −
7

5 Direction ratio of line joining the points (-2,4,-5), (1,2,3)
(a) (3,-2,8)
(b) (-3,2,-8)
(c) (1,-2,2)
(d) (-1,2,-2)
6 ⃗ ̂ ̂ ̂
Distance between planes .(2 + − 2 ) + 5 = 0 and
r i j k

⃗(6 ̂ + 3 ̂ 6 ̂ ) + 2 = 0
. − is
r i j k
9
(a)
13

13
(b)
9

15
(c)
4

1
(d)
13

7 Equation of line passing through (1,2,-3) and parallel to line
2 +1 1
x− = y = z − is
1 3 4

1 +1 3
x− = y = z−
(a)
1 3 4

1 2 +3
x− = y− = z
(b)
1 3 4

2 +1 1
x− = y = z−
(c)
1 2 3
−



ZIET, BHUBANESWAR Page 2

, 1 3 4
x− = y− = z−
(d)
1 2 3
−
8 If the planes a1x + b1y + c1z + d1 = 0 and a2x + b2y + c2z + d2 = 0 are perpendicular to

each other then
a1 = b1 = c1
(a)
a2 b2 c2

a1 = a2 = c1
(b)
b1 b2 c2

(c) a1a2 + b1b2 + c1c2 = 0

(d)
9 The distance of the plane 2x-3y+6z+7=0 from the point (2,-3,-1) is
(a) 1/5
(b) 3
(c) 4
(d) 2
10 Direction cosine of the normal to the plane 2x-3y-6z-3=0 are
2 3 6
(a) , − , −
7 7 7

2 3 6
(b) , ,
7 7 7

2 3 6
(c) − , − , −
7 7 7

2 3 6
(d) − , ,
7 7 7

11 The equation of the plane through the origin and parallel to the plane
2x-4y+5z+7=0 is
(a) 2x-4y+5z-7=0
(b) 2x-4y-5z+7=0
(c) 2x-4y+5z=0
(d) 2x+4y-5z+7=0
12


ZIET, BHUBANESWAR Page 3

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