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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

- Chapter 1. Sets Class 11 MCQ Questions
- Chapter 2. Relations and Functions Class 11 MCQ Questions
- Chapter 3. Trigonometric Functions Class 11 MCQ Questions
- Chapter 4. Principle of Mathematical Induction Class 11 MCQ Questions
- Chapter 5. Complex Numbers and Quadratic Equations Class 11 MCQ Questions
- Chapter 6. Linear Inequalities Class 11 MCQ Questions
- Chapter . Permutations and Combinations Class 11 MCQ Questions
- Chapter 8. Binomial Theorem Class 11 MCQ Questions
- Chapter 9. Sequences and Series Class 11 MCQ Questions
- Chapter 10. Straight Lines Class 11 MCQ Questions
- Chapter 11. Conic Sections Class 11 MCQ Questions
- Chapter 12. Introduction to Three Dimensional Geometry Class 11 MCQ Questions
- Chapter 13. Limits and Derivatives Class 11 MCQ Questions
- Chapter 14. Mathematical Reasoning Class 11 MCQ Questions
- Chapter 15. Statistics Class 11 MCQ Questions
- Chapter 16. Probability Class 11 MCQ Questions