Refer to BITSAT Mathematics Three Dimensional Geometry MCQs provided below. BITSAT Full Syllabus Mathematics MCQs with answers available in Pdf for free download. The MCQ Questions for Full Syllabus Mathematics with answers have been prepared as per the latest syllabus, BITSAT books and examination pattern suggested in Full Syllabus by BITSAT, NCERT and KVS. Multiple Choice Questions for Three Dimensional Geometry are an important part of exams for Full Syllabus Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for BITSAT Full Syllabus Mathematics and also download more latest study material for all subjects

## MCQ for Full Syllabus Mathematics Three Dimensional Geometry

Full Syllabus Mathematics students should refer to the following multiple-choice questions with answers for Three Dimensional Geometry in Full Syllabus. These MCQ questions with answers for Full Syllabus Mathematics will come in exams and help you to score good marks

### Three Dimensional Geometry MCQ Questions Full Syllabus Mathematics with Answers

#### Question: A line segment has length 63 and direction ratios are 3, –2, 6. If the line makes an obtuse angle with x–axis, the components of the line vector are

- a) 27, – 18, 54
- b) – 27, 18, 54
- c) – 27, 18, –54
- d) 27, – 18, – 54

**Answer: – 27, 18, –54**

#### Question: The line,intersects the curve xy = c^{2}, z = 0 if c is equal to

- a)
- b)
- c)
- d) None of these

**Answer:**

#### Question: The angle between two planes is equal to

- a) The angle between the tangents to them from any point
- b) The angle between the normals to them from any point
- c) The angle between the lines parallel to the planes from any point
- d) None of these

**Answer: The angle between the normals to them from any point**

#### Question: What is the angle between the lines

- a)
- b)
- c)
- d) None of these

**Answer:**

#### Question: Find the direction cosines of the line joining the points A(6, –7, –1) and B (2, –3, 1).

- a)
- b)
- c)
- d)

**Answer:**

#### Question: Find the equation of the line 3x – 6y – 2z – 15 = 2x + y – 2z + 5= 0 in parametric form.

- a)
- b)
- c)
- d)

**Answer:**

#### Question: The point of intersection of the lines andis

- a)
- b)
- c)
- d) None of these

**Answer:**

#### Question: The equation of line of intersection of planes 4x + 4y – 5z = 12, 8x + 12y – 13z = 32 can be written as

- a)
- b)
- c)
- d)

**Answer:**

#### Question: The ratio in which the join of ( 2, 1, 5) and (3, 4, 3) is divided by the plane (x + y – z) = is

- a) 3 : 5
- b) 5 : 7
- c) 1 : 3
- d) 4 : 5

**Answer: 5 : 7**

#### Question: Two lines L_{1} : x 5, are coplanar. Then, a can take value (s)

- a) 1, 4, 5
- b) 1, 2, 5
- c) 3, 4, 5
- d) 2, 4, 5

**Answer: 1, 4, 5**

#### Question: The ratio in which the join of ( 2, 1, 5) and (3, 4, 3) is divided by the plane (x + y – z) = is

- a) 3 : 5
- b) 5 : 7
- c) 1 : 3
- d) 4 : 5

**Answer: 5 : 7**

#### Question: If the line through the points A (k, 1, –1) and B (2k, 0, 2) is perpendicular to the line through the points B and C (2 + 2k , k, 1), then what is the value of k?

- a) –1
- b) 1
- c) –3
- d) 3

**Answer: 3**

#### Question: Two lines L_{1} : x 5, are coplanar. Then, a can take value (s)

- a) 1, 4, 5
- b) 1, 2, 5
- c) 3, 4, 5
- d) 2, 4, 5

**Answer: 1, 4, 5**

#### Question: A line makes the same angle θ with each of the X and Z-axes. If the angle β, which it makes with Y-axis, is such that sin^{2} β = 3sin^{2} θ, then cos^{2} θequals

- a) 2/5
- b) 1/5
- c) 3/5
- d) 2/3

**Answer: 3/5**

#### Question: Find the angle between the lineand the plane 10x + 2y – 11z = 3.

- a)
- b)
- c)
- d)

**Answer:**

#### Question: The equation of the right bisector plane of the segment joining (2, 3, 4) and (6, 7, 8) is

- a) x + y + z + 15 = 0
- b) x + y + z – 15 = 0
- c) x – y + z – 15 = 0
- d) None of these

**Answer: x + y + z – 15 = 0**

#### Question: The coordinates of the point where the line through the points A (3, 4, 1) and B (5, 1, 6) crosses the XY - plane are

- a)
- b)
- c)
- d)

**Answer:**

#### Question: Find the angle between the two planes 2x + y – 2z = 5 and 3x – 6y – 2z = 7

- a) cos
^{–1}(4/21) - b) cos
^{–1}(2/21) - c) cos
^{–1}(1/21) - d) cos
^{–1}(5/21)

**Answer: ****cos ^{–1} (4/21)**

#### Question: What is the value of n so that the angle between the lines having direction ratios (1, 1, 1) and (1, –1, n) is 60°?

- a) √3
- b) √6
- c) 3
- d) None of these

**Answer: ****√6**

#### Question: The foot of the perpendicular from the point (7, 14, 5) to the plane 2x + 4y – z = 2 are

- a) (1, 2, 8)
- b) (3, 2, 8)
- c) (5, 10, 6)
- d) (9, 18, 4)

**Answer: (1, 2, 8)**

#### Question: Find the coordinates of the point where the line joining the points (2, –3, 1) and (3, – 4, – 5) cuts the plane 2x + y + z = 7.

- a) (1, 2, – 7)
- b) (1, – 2, 7)
- c) (–1, – 2, 7)
- d) (1, 2, 7)

**Answer: (1, – 2, 7)**

#### Question: Gives the line L : and the plane π : x – 2y – z = 0. Of the following assertions, the only one that is always true is

- a)
- b) L lies in π
- c) L is not parallel to π
- d) None of these

**Answer: ****L lies in π**

#### Question: The perpendicular distance of P(1, 2, 3) from the line is

- a) 7
- b) 5
- c) 0
- d) 6

**Answer: 7**

#### Question: The equation of the plane containing the line is a (x – x_{1}) + b (y – y_{1}) + c (z – z_{1}) = 0. Correct option is

- a) ax
_{1}+ by_{1}+ cz_{1}= 0 - b) al + bm + cn = 0
- c)
- d) lx
_{1}+ my_{1}+ nz_{1}= 0

**Answer: ****al + bm + cn = 0**

#### Question: If the line lies in the plane 2x – 4y + z = 7, then the value of k is

- a) 4
- b) -7
- c) 7
- d) No real value

**Answer: 7**

## More Study Material

### BITSAT Full Syllabus Mathematics Three Dimensional Geometry MCQs

We hope students liked the above MCQs for Three Dimensional Geometry designed as per the latest syllabus for Full Syllabus Mathematics released by BITSAT. Students of Full Syllabus should download the Multiple Choice Questions and Answers in Pdf format and practice the questions and solutions given in above Full Syllabus Mathematics MCQs Questions on daily basis. All latest MCQs with answers have been developed for Mathematics by referring to the most important and regularly asked topics which the students should learn and practice to get better score in school tests and examinations. Studiestoday is the best portal for Full Syllabus students to get all latest study material free of cost.

### MCQs for Mathematics BITSAT Full Syllabus Three Dimensional Geometry

Expert teachers of studiestoday have referred to NCERT book for Full Syllabus Mathematics to develop the Mathematics Full Syllabus MCQs. If you download MCQs with answers for the above chapter daily, you will get higher and better marks in Full Syllabus test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Multiple Choice Questions practice of Mathematics and its study material will help students to have stronger understanding of all concepts and also make them expert on all critical topics. You can easily download and save all MCQs for Full Syllabus Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the MCQs which have been developed as per latest course books also refer to the NCERT solutions for Full Syllabus Mathematics designed by our teachers

**Three Dimensional Geometry MCQs Mathematics BITSAT Full Syllabus**

All MCQs given above for Full Syllabus Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Full Syllabus can refer to the answers which have been also provided by our teachers for all MCQs of Mathematics so that you are able to solve the questions and then compare your answers with the solutions provided by us. We have also provided lot of MCQ questions for Full Syllabus Mathematics so that you can solve questions relating to all topics given in each chapter. All study material for Full Syllabus Mathematics students have been given on studiestoday.

**Three Dimensional Geometry BITSAT Full Syllabus MCQs Mathematics**

Regular MCQs practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Three Dimensional Geometry concepts. MCQs play an important role in developing understanding of Three Dimensional Geometry in BITSAT Full Syllabus. Students can download and save or print all the MCQs, printable assignments, practice sheets of the above chapter in Full Syllabus Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Full Syllabus Mathematics MCQ Test for the same chapter

**BITSAT MCQs Mathematics Full Syllabus Three Dimensional Geometry**

BITSAT Full Syllabus Mathematics best textbooks have been used for writing the problems given in the above MCQs. If you have tests coming up then you should revise all concepts relating to Three Dimensional Geometry and then take out print of the above MCQs and attempt all problems. We have also provided a lot of other MCQs for Full Syllabus Mathematics which you can use to further make yourself better in Mathematics

You can download the BITSAT MCQs for Full Syllabus Mathematics Three Dimensional Geometry for latest session from StudiesToday.com

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Multiple Choice Questions (MCQs) for Three Dimensional Geometry Full Syllabus Mathematics are objective-based questions which provide multiple answer options, and students are required to choose the correct answer from the given choices.