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## MCQ Questions for Class 11 Mathematics Chapter wise with Answers

## 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

## Q2. 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)

## 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

## Q4. The point (0, 0, 3) lie on **__**

**__**(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

## Q7. 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

## Q8. The point (4, 2, 0) lie on *_*

*_*

(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

## Q12. 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

## 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

## Q16. In which octant does the point (-1, 5, -7) lies?

(i) 1st

(ii) 2nd

(iii) 6th

(iv) 7th

(iii) 6th

## Q17. 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)

## 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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## MCQ Questions for Class 11 Mathematics Chapter wise with Answers

**Lesson 1. Sets Class 11 MCQ Questions****Lesson 2. Relations and Functions Class 11 MCQ Questions****Lesson 3. Trigonometric Functions Class 11 MCQ Questions****Lesson 4. Principle of Mathematical Induction Class 11 MCQ Questions****Lesson 5. Complex Numbers and Quadratic Equations Class 11 MCQ Questions****Lesson 6. Linear Inequalities Class 11 MCQ Questions****Lesson 7. Permutations and Combinations Class 11 MCQ Questions****Lesson 8. Binomial Theorem Class 11 MCQ Questions****Lesson 9. Sequences and Series Class 11 MCQ Questions****Lesson 10. Straight Lines Class 11 MCQ Questions****Lesson 11. Conic Sections Class 11 MCQ Questions****Lesson 12. Introduction to Three Dimensional Geometry Class 11 MCQ Questions****Lesson 13. Limits and Derivatives Class 11 MCQ Questions****Lesson 14. Mathematical Reasoning Class 11 MCQ Questions****Lesson 15. Statistics Class 11 MCQ Questions****Lesson 16. Probability Class 11 MCQ Questions**