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

Answer: – 27, 18, –54


Question: The line,BITSAT Mathematics Three Dimensional Geometry 19intersects the curve xy = c2, z = 0 if c is equal to

  • a) 

    BITSAT Mathematics Three Dimensional Geometry 20

  • b)

    BITSAT Mathematics Three Dimensional Geometry 21

  • c) BITSAT Mathematics Three Dimensional Geometry 22
  • d) None of these

Answer:

BITSAT Mathematics Three Dimensional Geometry 22

 

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 BITSAT Mathematics Three Dimensional Geometry 23

  • a)

    BITSAT Mathematics Three Dimensional Geometry 24

  • b)

    BITSAT Mathematics Three Dimensional Geometry 25

  • c)

    BITSAT Mathematics Three Dimensional Geometry 26

  • d) None of these

Answer:

BITSAT Mathematics Three Dimensional Geometry 24

 

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

  • a)

    BITSAT Mathematics Three Dimensional Geometry 27

  • b)

    BITSAT Mathematics Three Dimensional Geometry 28

  • c)

    BITSAT Mathematics Three Dimensional Geometry 29

  • d)

    BITSAT Mathematics Three Dimensional Geometry 30

Answer:

BITSAT Mathematics Three Dimensional Geometry 27

 

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

  • a)

    BITSAT Mathematics Three Dimensional Geometry 31

  • b)

    BITSAT Mathematics Three Dimensional Geometry 32

  • c)

    BITSAT Mathematics Three Dimensional Geometry 33

  • d)

    BITSAT Mathematics Three Dimensional Geometry 34

Answer:

BITSAT Mathematics Three Dimensional Geometry 34

 

Question: The point of intersection of the linesBITSAT Mathematics Three Dimensional Geometry 35 andBITSAT Mathematics Three Dimensional Geometry 36is

  • a)

    BITSAT Mathematics Three Dimensional Geometry 37

  • b)

    BITSAT Mathematics Three Dimensional Geometry 38

  • c)

    BITSAT Mathematics Three Dimensional Geometry 39

  • d) None of these

Answer:

BITSAT Mathematics Three Dimensional Geometry 38

 

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

  • a)

    BITSAT Mathematics Three Dimensional Geometry 40

  • b)

    BITSAT Mathematics Three Dimensional Geometry 41

  • c)

    BITSAT Mathematics Three Dimensional Geometry 42

  • d)

    BITSAT Mathematics Three Dimensional Geometry 43

Answer:

BITSAT Mathematics Three Dimensional Geometry 41

 

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

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

Answer: 5 : 7


Question: Two lines L1 : x 5,BITSAT Mathematics Three Dimensional Geometry 2BITSAT Mathematics Three Dimensional Geometry 3 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) =BITSAT Mathematics Three Dimensional Geometry 1 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 L1 : x 5,BITSAT Mathematics Three Dimensional Geometry 2BITSAT Mathematics Three Dimensional Geometry 3 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 sin2 β = 3sin2 θ, then cos2 θequals

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

Answer: 3/5


Question: Find the angle between the lineBITSAT Mathematics Three Dimensional Geometry 4and the plane 10x + 2y – 11z = 3.

  • a)

    BITSAT Mathematics Three Dimensional Geometry 5

  • b)

    BITSAT Mathematics Three Dimensional Geometry 6

  • c)

    BITSAT Mathematics Three Dimensional Geometry 7

  • d)

    BITSAT Mathematics Three Dimensional Geometry 8

Answer:

BITSAT Mathematics Three Dimensional Geometry 5

 

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)

    BITSAT Mathematics Three Dimensional Geometry 9

  • b)

    BITSAT Mathematics Three Dimensional Geometry 10

  • c)

    BITSAT Mathematics Three Dimensional Geometry 11

  • d)

    BITSAT Mathematics Three Dimensional Geometry 12

Answer:

BITSAT Mathematics Three Dimensional Geometry 9

 

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 :BITSAT Mathematics Three Dimensional Geometry 13 and the plane π : x – 2y – z = 0. Of the following assertions, the only one that is always true is

  • a)

     BITSAT Mathematics Three Dimensional Geometry 14

  • 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 lineBITSAT Mathematics Three Dimensional Geometry 15 is

  • a) 7
  • b) 5
  • c) 0
  • d) 6

Answer: 7


Question: The equation of the plane containing the lineBITSAT Mathematics Three Dimensional Geometry 16 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)

    BITSAT Mathematics Three Dimensional Geometry 17

  • d) lx1 + my1 + nz1 = 0

Answer: al + bm + cn = 0

 

Question: If the line BITSAT Mathematics Three Dimensional Geometry 18 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

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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

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

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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.