**Find here the NCERT chapter-wise Multiple Choice Questions from Class 12 Mathematics book Chapter 11 Three Dimensional Geometry with Answers Pdf free download. This may assist you to understand and check your knowledge about the chapters. Students also can take a free test of the Multiple Choice Questions of Three Dimensional Geometry. Each question has four options followed by the right answer. These MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.**

## NCERT MCQ Chapters for Class 12 Mathematics

## Q1. Find the equation of plane passing through the points P(1, 1, 1), Q(3, -1, 2), R(-3, 5, -4).

(i) x + 2y = 0

(ii) x – y = 2

(iii) -x + 2y = 2

(iv) x + y = 2

(iv) x + y = 2

## Q2. The coordinates of the midpoints of the line segment joining the points (2, 3, 4) and (8, -3, 8) are

(i) (10, 0, 12)

(ii) (5, 6, 0)

(iii) (6, 5, 0)

(iv) (5, 0, 6)

(iv) (5, 0, 6)

## Q3. The co-ordinates of the foot of the perpendicular drawn from the point (2, 5, 7) on the x-axis are given by:

(i) (2, 0, 0)

(ii) (0, 5, 0)

(iii) (0, 0, 7)

(iv) (0, 5, 7).

(i) (2, 0, 0)

## Q4. The distance between the planes 2x + 2y – z + 2 = 0 and 4x + 4y – 2z + s = 0 is

(i) 1/6

(ii) 1

(iii) 1/4

(iv) 1/2

(i) 1/6

## Q5. 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

(i) 3x + 3y – 2z = 0

(ii) x – 2y + z = 2

(iii) 2x + y – z = 2

(iv) 5x – 3y + 2z = 0

(iii) 2x + y – z = 2

## Q6. The distance of the plane 2x – 3y + 6z + 7 = 0 from the point (2, -3, -1) is

(i) 4

(ii) 3

(iii) 2

(iv) 15

(iii) 2

## Q7. The reflection of the point (α, ß, γ) in the xy-plane is:

(i) (α, ß, 0)

(ii) (0, 0, γ)

(iii) (-α, -ß, γ)

(iv) (α, ß, -γ).

(iv) (α, ß, -γ).

## Q8. The acute angle between the planes 2x – y+z = 6 and x+y+2z = 3 is

(i) 60

(ii) 30

(iii) 75

(iv) 45

(i) 60

## Q9. The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2, 6, 2), is equal to

(i) 9 sq. units

(ii) 18 sq. units

(iii) 27 sq. units

(iv) 81 sq. units

(i) 9 sq. units

## Q10. If 2x + 5y – 6z + 3 = 0 be the equation of the plane, then the equation of any plane parallel to the given plane is

(i) 3x + 5y – 6z + 3 = 0

(ii) 2x – 5y – 6z + 3 = 0

(iii) 2x + 5y – 6z + k = 0

(iv) None of these

(iii) 2x + 5y – 6z + k = 0

### Q11. A line AB in three-dimensional space makes angles 45° and 120° with the positive x-axis and the positive y-axis respectively. If AB makes an acute angle θ with the positive z-axis, then θ equals:

(i) 30°

(ii) 45°

(iii) 60°

(iv) 15°.

(iii) 60°

## Q12. If the lines x-2/1 =y-2/1 =z-4/k and x-1/k = y-4/2 = z-5/1 are coplanar, then k can have

(i) Exactly two values

(ii) Exactly three values

(iii) Exactly one value

(iv) Any value

(i) Exactly two values

## Q13. A line makes angles α, β and γ with the co-ordinate axes. If α + β = 90°, then γ is equal to

(i) 0°

(ii) 90°

(iii) 180°

(iv) None of these

(ii) 90°

## Q14. The equation xy = 0 in three dimensional space is represented by

(i) a plane

(ii) two plane are right angles

(iii) a pair of parallel planes

(iv) a pair of st. line

(ii) two plane are right angles

## Q15. An equation of a plane parallel to the plane x – 2y + 2z – 5 = 0 and at a unit distance from the origin is:

(i) x – 2y + 2z – 3 = 0

(ii) x – 2y + 2z + 1 = 0

(iii) x – 2y + 2z – 1 = 0

(iv) x – 2y + 2z + 5 = 0.

(i) x – 2y + 2z – 3 = 0

## Q16. If the lines x-1/2 = y+1/3 = z-1/4 and x-3/1 = y-k/2 = z/1 intersect at a point , then the value of k is

(i) 9/2

(ii) 2/9

(iii) 2

(iv) 3/2

(i) 9/2

## Q17. The angle between the line 2x = 3y = -z and 6x = -y = -4z is

(i) 30°

(ii) 45°

(iii) 90°

(iv) 0°

(iii) 90°

## Q18. The direction cosines of any normal to the xy plane are

(i) 1, 0 ,0

(ii) 0, 1, 0

(iii) 1, 1, 0

(iv) 1, 1, 0

(iv) 1, 1, 0

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## MCQ Questions for Class 12 Mathematics Chapter wise with Answers

**Lesson 1. Relations and Functions MCQs****Lesson 2. Inverse Trigonometric Functions MCQs****Lesson 3. Matrices MCQs****Lesson 4. Determinants MCQs****Lesson 5. Continuity and Differentiability MCQs****Lesson 6. Application of Derivatives MCQs****Lesson 7. Integrals MCQs****Lesson 8. Application of Integrals MCQs****Lesson 9. Differential Equations MCQs****Lesson 10. Vector Algebra MCQs****Lesson 11. Three Dimensional Geometry MCQs****Lesson 12. Linear Programming MCQs****Lesson 13. Probability MCQs**

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