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

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.

## 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

(i) (10, 0, 12)
(ii) (5, 6, 0)
(iii) (6, 5, 0)
(iv) (5, 0, 6)

(iv) (5, 0, 6)

(i) (2, 0, 0)
(ii) (0, 5, 0)
(iii) (0, 0, 7)
(iv) (0, 5, 7).

(i) (2, 0, 0)

(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

(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).

(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

(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

(i) 9/2
(ii) 2/9
(iii) 2
(iv) 3/2

(i) 9/2

(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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