Introduction to Three Dimensional Geometry MCQ Questions for Class 11 Math’s Chapter 12 with Answers

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MCQ Questions for Class 11 Mathematics Chapter wise with Answers


Q1. Three vertices of a parallelogram ABCD are A(1, 2, 3), B(-1, -2, -1) and C(2, 3, 2). Find the fourth vertex D.

(i) (– 4, – 7, – 6)
(ii) (4, 7, 6)
(iii) (4, 7, – 6)
(iv) None of these

(ii) (4, 7, 6)


Q2. For every point P(x, y, z) on the xy-plane

(i) x = 0
(ii) y = 0
(iii) z = 0
(iv) None of these

(iii) z = 0


Q3. The equation of the set of point P, the sum of whose distance from A(4, 0, 0) and B(-4, 0, 0) is equal to 10 is

(i) 9x² + 25y² + 25z² + 225 = 0
(ii) 9x² + 25y² + 25z² – 225 = 0
(iii) 9x² + 25y² – 25z² – 225 = 0
(iv) 9x² – 25y² – 25z² – 225 = 0

(ii) 9x² + 25y² + 25z² – 225 = 0


Q4. The image of the point P(1, 3, 4) in the plane 2x – y + z = 0 is

(i) (-3, 5, 2)
(ii) (3, 5, 2)
(iii) (3, -5, 2)
(iv) (3, 5, -2)

(i) (-3, 5, 2)


Q5. The image of the point P(1,3,4) in the plane 2x – y + z = 0 is

(i) (-3, 5, 2)
(ii) (3, 5, 2)
(iii) (3, -5, 2)
(iv) (3, 5, -2)

(i) (-3, 5, 2)


Q6. The locus of a point for which y = 0, z = 0 is

(i) equation of x-axis
(ii) equation of y-axis
(iii) equation of z-axis
(iv) None of these

(i) equation of x-axis


Q7. In which octant does the point (-1, 5, -7) lies?

(i) 1st
(ii) 2nd
(iii) 6th
(iv) 7th

(iii) 6th


Q8. The point (0, 0, 3) lie on __

(i) X-axis
(ii) Y-axis
(iii) Z-axis
(iv) X-Y plane

(iii) Z-axis


Q9. Distance of the point (1, 2, 3) from the coordinate axes are

(i) 13, 10, 5
(ii) √13, √10, √5
(iii) √5, √13, √10
(iv) 1/√13, 1/√10, 1/√5

(ii) √13, √10, √5


Q10. The equation of the plane containing the line 2x – 5y + z = 3, x + y + 4z = 5 and parallel to the plane x + 3y + 6z = 1 is

(i) x + 3y + 6z + 7 = 0
(ii) x + 3y – 6z – 7 = 0
(iii) x – 3y + 6z – 7 = 0
(iv) x + 3y + 6z – 7 = 0

(iv) x + 3y + 6z – 7 = 0


Q11. The locus of a point which moves so that the difference of the squares of its distances from two given points is constant, is a

(i) Straight line
(ii) Plane
(iii) Sphere
(iv) None of these

(ii) Plane


Q12. Three planes x + y = 0, y + z = 0, and x + z = 0

(i) none of these
(ii) meet in a line
(iii) meet in a unique point
(iv) meet taken two at a time in parallel lines

(iii) meet in a unique point


Q13. The coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the YZ plane is

(i) (0, 17/2, 13/2)
(ii) (0, -17/2, -13/2)
(iii) (0, 17/2, -13/2)
(iv) None of these

(iii) (0, 17/2, -13/2)


Q14. The points (5, 2, 4), (6, -1, 2) and (8, -7, k) are collinear, if k is equal to

(i) -2
(ii) 2
(iii) 3
(iv) -1

(i) -2


Q15. Find the distance of point (2, 3, 5) from Y-Z plane.

(i) 2 units
(ii) 3 units
(iii) 5 units
(iv) 1 unit

(i) 2 units


We hope the given NCERT MCQ Questions for Class 11 Mathematics book Chapter 12 Introduction to Three Dimensional Geometry with Answers PDF Free Download solution will definitely help you to achieve perfect score. If you have any queries related to CBSE Class 11 Mathematics book Chapter 12 Introduction to Three Dimensional Geometry with Answers book MCQs Multiple Choice Questions with Answers, drop your questions below and will get back to you in no time.


MCQ Questions for Class 11 Mathematics Chapter wise with Answers


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