11th Math Introduction to 3 Dimensional Geometry MCQ Chapter Quiz: Check knowledge with instant result

Are you student of 11th Math grade or preparing any competitive exam based on 11th standard? If yes! Participate in 11th Mathematics MCQ Chapter Introduction to Three Dimensional Geometry Quiz for check knowledge with instant result for all type board exam, competitive exam like IIT JEE and other engineering entrance exam.

Introduction to Three Dimensional Geometry MCQ Test

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Time: 10 Minutes for 10 Question.

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11th Math: Introduction to Three Dimensional Geometry

1 / 12

1. In below image, if P is (2,4,5), find the coordinates of F.

(2,0,5)

(2,0,1)

(2,1,5)

None

2 / 12

2. What is the distance separating the points (2, –1, 3) and (–2, 1, 3)?

25 units

√5 units

2√5 units

None

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

(-3, 5, 2)

(3, 5, 2)

(3, -5, 2)

(3, 5, -2)

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4. Which octant do the point (−5,4,3) lie?

Octant IV

Octant III

Octant I

Octant II

5 / 12

5. The space is divided into ---- octants by coordinate planes.

8

5

7

6

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6. The locus represented by the equation xy + yz = 0 is:

A pair of perpendicular planes

A pair of parallel lines

A pair of parallel planes

A pair of perpendicular lines

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7. What is the maximum distance between the points (3sin θ, 0, 0) and (4cos θ, 0, 0)?

3

6

4

5

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8. Three vertices of a parallelogram ABCD are A(3, – 1, 2), B (1, 2, – 4) and C (– 1, 1, 2). Find the coordinates of the fourth vertex.

(1, – 2, 8)

None

(1, 2, 8)

(-1, 2, 8)

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9. The perpendicular distance of the point P(6, 7, 8) from the XY – Plane is:

7

10

9

8

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10. A point is on the x-axis. Which of the following represent the point?

(x, 0, 0)

(0, x, 0)

(0, 0, x)

None

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11. The distance of the point P(a, b, c) from the x-axis is:

None

√(a² + b²)

√(a² + c²)

√(b² + c²)

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12. The image of the point (-2, 3, 4) in the yz-plane is (-2, 0, 4). This is obtained by keeping the x-coordinate unchanged and setting the y-coordinate to 0, as the yz-plane is defined by having y = 0.

(-2, -3, 4)

(2, 3, 4)

(-2, -3, -4)

(-2, 3, 4)

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11th Math Introduction to 3 Dimensional Geometry MCQ Quiz – Master 3D Geometry Concepts!

Are you ready to ace your Class 11 Math exams? Our Introduction to 3 Dimensional Geometry MCQ quiz will help you master the essential concepts of 3D geometry, including the coordinates of points, the distance formula, direction cosines, and planes in 3D space. This chapter forms the foundation for understanding geometrical concepts in three-dimensional space and is crucial for both board exams and competitive tests like JEE and NEET.

In this 10-question quiz, you’ll test your knowledge on key concepts such as the equation of a line in space, the distance between two points, and how to find the angle between two lines or planes. Sharpen your skills and build the confidence you need for your exams!

FAQs

Q1: What are the key topics covered in the 11th Math Introduction to 3 Dimensional Geometry MCQ quiz?
Ans: This quiz covers topics like the coordinates of points in 3D space, distance formula, direction ratios and cosines, equation of a line in space, distance between two points, and the angle between two lines or planes.

Q2: How many questions are there in this quiz?
Ans: The quiz consists of 10 questions, designed to help you understand and apply core concepts in 3D geometry.

Q3: Is the quiz based on the NCERT syllabus for Class 11?
Ans: Yes, the quiz follows the NCERT syllabus for Class 11 Mathematics, ensuring that it covers the necessary topics and prepares you for your board exams and competitive entrance tests.

Q4: How can this quiz help me in my exam preparation?
Ans: This quiz will help you strengthen your understanding of 3-dimensional geometry, improve your ability to solve problems involving coordinates, distances, and angles, and boost your exam readiness by practicing a wide range of problems.

Q5: Can I retake the quiz if I want to improve my score?
Ans: Yes, you can retake the quiz as many times as you like to improve your score and deepen your understanding of 3D geometry concepts.

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