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

We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 11 Mathematics book Chapter 12 Introduction to Three Dimensional Geometry with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam taking the help of the Class 11 Maths Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Introduction to Three Dimensional Geometry. Each Questions has four options followed by the right answer. Download the Maths Quiz Questions with Answers for Class 11 free Pdf and prepare to exam and help students understand the concept very well.

Q1. 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

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

(i) (-3, 5, 2)

Q3. 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

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

(iii) Z-axis

Q5. 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

Q6. 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

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

(i) -2

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

(i) X-Y plane

Q9. The coordinate of foot of perpendicular drawn from the point A(1, 0, 3) to the join of the point B(4, 7, 1) and C(3, 5, 3) are

(i) (5/3, 7/3, 17/3)
(ii) (5, 7, 17)
(iii) (5/3, -7/3, 17/3)
(iv) (5/7, -7/3, -17/3)

(i) (5/3, 7/3, 17/3)

Q10. Find the coordinates of the point which divides the line segment joining the points (– 2, 3, 5) and (1, -4, 6) in the ratio 2 : 3 externally.

(i) (– 8, – 17, 3)
(ii) (– 8, 17, 3)
(iii) (8, – 17, 3)
(iv) None of these

(ii) (– 8, 17, 3)

Q11. If the distance between the points (a, 0, 1) and (0, 1, 2) is √27, then the value of a is

(i) 5
(ii) ±5
(iii) – 5
(iv) None of these

(ii) ±5

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

(i) 2 units

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 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

Q15. 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

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

(iii) 6th

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

(i) (-3, 5, 2)

Q18. 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

Q19. 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)

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