Refer to BITSAT Mathematics Three Dimensional Geometry MCQs provided below. BITSAT Full Syllabus Mathematics MCQ questions with answers are available for download in Pdf. The MCQ Questions for Full Syllabus Mathematics with answers are aligned as per the latest syllabus and exam 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 improve your understanding of Three Dimensional Geometry and 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.

### 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

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