# BITSAT Mathematics Three Dimensional Geometry MCQs

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

#### Question: The line, intersects the curve xy = c2, z = 0 if c is equal to

• a) • b) • c) • d) None of these #### 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 #### Question: Find the direction cosines of the line joining the points A(6, –7, –1) and B (2, –3, 1).

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

• a) • b) • c) • d)  #### Question: The point of intersection of the lines and is

• a) • b) • c) • d) None of these #### 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)  • a) 3 : 5
• b) 5 : 7
• c) 1 : 3
• d) 4 : 5

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

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

• a) –1
• b) 1
• c) –3
• d) 3

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

• a) 2/5
• b) 1/5
• c) 3/5
• d) 2/3

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

• a) • b) • c) • d)  #### 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)  #### 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)

#### 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

#### 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)

#### 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)

#### 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

• a) 7
• b) 5
• c) 0
• d) 6

#### Question: The equation of the plane containing the line is a (x – x1) + b (y – y1) + c (z – z1) = 0. Correct option is

• a) ax1 + by1 + cz1 = 0
• b) al + bm + cn = 0
• c) • d) lx1 + my1 + nz1 = 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

## More Study Material

### BITSAT Full Syllabus Mathematics Three Dimensional Geometry MCQs

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

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

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

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#### 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

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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.