# Class 12 Maths Chapter 11 Three Dimensional Geometry MCQ with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have provided Three Dimensional Geometry Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

(a) 12
(b) 2
(c) 1
(d) 32

## Q.2 The equation of the plane through the origin and parallel to the plane 3x – 4y + 5z + 6 = 0

(a) 3x – 4y – 5z – 6 = 0
(b) 3x – 4y + 5z + 6 = 0
(c) 3x – 4y + 5z = 0
(d) 3x + 4y – 5z + 6 = 0

(a) 4
(b) 3
(c) 2
(d) 15

(a) (α, β, 0)
(b) (0, 0, γ)
(c) (-α, -β, -γ)
(d) (α, β, -y)

(a) 9 sq. units
(b) 18 sq. units
(c) 27 sq. units
(d) 81 sq. units

## Q.6 If 2x + 5y – 6z + 3 = 0 be the equation of the plane, then the equation of any plane parallel to the given plane is

(a) 3x + 5y – 6z + 3 = 0
(b) 2x – 5y – 6z + 3 = 0
(c) 2x + 5y – 6z + k = 0
(d) None of these

## Q.7 The locus of xy + yz = 0 is

(a) A pair of st. lines
(b) A pair of parallel lines
(c) A pair of parallel planes
(d) A pair of perpendicular planes

## Q.8 Which of the following is false?

(a) 30°, 45°, 60° can be the direction angles of a line is space
(b) 90°, 135°, 45° can be the direction angles of a line is space
(c) 120°, 60°, 45° can be the direction angles of a line in space
(d) 60°, 45°, 60° can be the direction angles of a line in space

## Q.9 The plane x + y = 0

(a) is parallel to z-axis
(b) is perpendicular to z-axis
(c) passes through z-axis
(d) None of these

## Q.10 The equation of the plane passing through three non- collinear points with position vectors a, b, c is

(a) r.(b × c + c × a + a × b) = 0
(b) r.(b × c + c × a + a × b) = [abc]
(c) r.(a × (b + c)) = [abc]
(d) r.(a + b + c) = 0

## Q.11 Four points (0, -1, -1) (-4, 4, 4) (4, 5, 1) and (3, 9, 4) are coplanar. Find the equation of the plane containing them.

(a) 5x + 7y + 11z – 4 =0
(b) 5x – 7y + 11z + 4 = 0
(c) 5x – 7y – 11z – 4 = 0
(d) 5x + 7y – 11z + 4 = 0

(a) 1
(b) 4
(c) 8
(d) 2

(a) x + 2y = 0
(b) x – y = 2
(c) -x + 2y = 2
(d) x + y = 2

## Q.14 The equation x² – x – 2 = 0 in three dimensional space is represented by

(a) A pair of parallel planes
(b) A pair of straight lines
(c) A pair of perpendicular plane
(d) None of these

## Q.15 The vector equation of the plane passing through the origin and the line of intersection of the plane r.a = λ and r.b = µ is

(a) r.(λa – µb) = 0
(b) r.(λb – µa) = 0
(c) r.(λa + µb)= 0
(d) r.(λb + µa) = 0

(a) 1, 0 ,0
(b) 0, 1, 0
(c) 1, 1, 0
(d) 1, 1, 0

## Q.17 The distance of the point (-3, 4, 5) from the origin

(a) 50
(b) 5√2
(c) 6
(d) None of these

## Q.18 The equation of the plane through the point (0, -4, -6) and (-2, 9, 3) and perpendicular to the plane x – 4y – 2z = 8 is

(a) 3x + 3y – 2z = 0
(b) x – 2y + z = 2
(c) 2x + y – z = 2
(d) 5x – 3y + 2z = 0

(a) 7, 4,-2
(b)7, 4, 5
(c) 7, 4, 2
(d) 4, -2, 5

## Q.20 The equation xy = 0 in three dimensional space is represented by

(a) a plane
(b) two plane are right angles
(c) a pair of parallel planes
(d) a pair of st. line

(a) 3, 2, -1
(b) -3, 7, 5
(c) 1, -1, 2
(d) – 11, 4, -5

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