MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry with Answers Set-B

Three Dimensional Geometry Class 12 Maths MCQs Questions with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have Provided Three Dimensional Geometry Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

Class 12 Maths Chapter 11 Quiz

Class 12 Maths Chapter 11 MCQ Online Test

You can refer to NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Three Dimensional Geometry Class 12 Maths MCQ online test

Q1.	The lines of intersection of the planes \(\vec{r}\)(3\(\hat{i}\) – \(\hat{j}\) + \(\hat{k}\)) = 1 and \(\vec{r}\)(\(\hat{i}\) +4\(\hat{j}\) – 2\(\hat{k}\)) = 2 is parallel to the vector
	A. 2\(\hat{i}\) + 7\(\hat{j}\) + 13\(\hat{k}\)
	B. -2\(\hat{i}\) + 7\(\hat{j}\) + 13\(\hat{k}\)
	C. 2\(\hat{i}\) – 7\(\hat{j}\) + 13\(\hat{i}\)
	D. -2\(\hat{i}\) – 7\(\hat{j}\) – 13\(\hat{k}\)

Ans: -2\(\hat{i}\) + 7\(\hat{j}\) + 13\(\hat{k}\)

Q2.	The equation of the plane through the origin and parallel to the plane 3x – 4y + 5z + 6 = 0
	A. 3x – 4y – 5z – 6 = 0
	B. 3x – 4y + 5z + 6 = 0
	C. 3x – 4y + 5z = 0
	D. 3x + 4y – 5z + 6 = 0

Ans: 3x – 4y + 5z = 0

Q3.	The locus of xy + yz = 0 is
	A. A pair of st. lines
	B. A pair of parallel lines
	C. A pair of parallel planes
	D. A pair of perpendicular planes

Ans: A pair of perpendicular planes

Q4.	The plane x + y = 0
	A. is parallel to z-axis
	B. is perpendicular to z-axis
	C. passes through z-axis
	D. None of these

Ans: passes through z-axis

Q5.	If α, β, γ are the angle which a half ray makes with the positive directions of the axis then sin²α + sin²β + sin²γ =
	A. 1
	B. 2
	C. 0
	D. -1

Ans: 2

Q6.	If a line makes angles α, β, γ with the axis then cos 2α + cos 2β + cos 2γ =
	A. -2
	B. -1
	C. 1
	D. 2

Ans: -1

Q7.	The line x = 1, y = 2 is
	A. parallel to x-axis
	B. parallel to y-axis
	C. parallel to z-axis
	D. None of these

Ans: parallel to z-axis

Q8.	The points A (1, 1, 0), B(0, 1, 1), C(1, 0, 1) and D(\(\frac{2}{3}\), \(\frac{2}{3}\), \(\frac{2}{3}\))
	A. Coplanar
	B. Non-coplanar
	C. Vertices of a parallelogram
	D. None of these

Ans: Coplanar

Q9.	The angle between the planes 2x – y + z = 6 and x + y + 2z = 7 is
	A. \(\frac{π}{4}\)
	B. \(\frac{π}{6}\)
	C. \(\frac{π}{3}\)
	D. \(\frac{π}{2}\)

Ans: \(\frac{π}{3}\)

Q10.	The distance of the points (2, 1, -1) from the plane x- 2y + 4z – 9 is
	A. \(\frac{\sqrt{31}}{21}\)
	B. \(\frac{13}{21}\)
	C. \(\frac{13}{\sqrt{21}}\)
	D. \(\sqrt{\frac{π}{2}}\)

Ans: \(\frac{13}{\sqrt{21}}\)

Q11.	The planes \(\vec{r}\)(2\(\hat{i}\) + 3\(\hat{j}\) – 6\(\hat{k}\)) = 7 and \(\vec{r}\)(\(\frac{-2}{7}\)\(\vec{i}\) – \(\frac{3}{j}\)\(\vec{j}\) + \(\frac{6}{7}\)\(\vec{k}\)) = 0 are
	A. parallel
	B. at right angles
	C. equidistant front origin
	D. None of these

Ans: parallel

Q12.	The equation of the plane through point (1, 2, -3) which is parallel to the plane 3x- 5y + 2z = 11 is given by
	A. 3x – 5y + 2z – 13 = 0
	B. 5x – 3y + 2z + 13 = 0
	C. 3x – 2y + 5z + 13 = 0
	D. 3x – 5y + 2z + 13 = 0

Ans: 3x – 5y + 2z + 13 = 0

Q13.	Distance of the point (a, β, γ) from y-axis is
	A. β
	B. \|β\|
	C. \|β + γ\|
	D. \(\sqrt{α^2+γ^2}\)

Ans: \(\sqrt{α^2+γ^2}\)

Q14.	If the directions cosines of a line are A, k, k, then
	A. k > 0
	B. 0 < k < 1
	C. k = 1
	D. k = \(\frac{1}{√3}\) or –\(\frac{1}{√3}\)

Ans: k = \(\frac{1}{√3}\) or –\(\frac{1}{√3}\)

Q15.	The distance of the plane \(\vec{r}\)(\(\frac{-2}{7}\)\(\hat{i}\) – \(\frac{3}{7}\)\(\hat{j}\) + \(\frac{6}{7}\)\(\hat{k}\)) = 0 from the orgin is
	A. 1
	B. 7
	C. \(\frac{1}{7}\)
	D. None of these

Ans: 1

Q16.	The sine of the angle between the straight line \(\frac{x-2}{3}\) = \(\frac{y-3}{4}\) = \(\frac{z-4}{5}\) and the plane 2x – 2y + z = 5 is
	A. \(\frac{10}{6√5}\)
	B. \(\frac{4}{5√2}\)
	C. \(\frac{2√3}{5}\)
	D. \(\sqrt{\frac{√2}{10}}\)

Ans: \(\frac{2√3}{5}\)

Q17.	The reflection of the point (a, β, γ) in the xy-plane is
	A. (α, β, 0)
	B. (0, 0, γ)
	C. (- α, – β, γ)
	D. (α, β, γ)

Ans: (α, β, γ)

Q18.	The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2, 6, 2) is equal to
	A. 9 sq. units
	B. 18 sq. units
	C. 27 sq. units
	D. 81 sq. units

Ans: 9 sq. units

Q19.	The plane 2x – 3y + 6z – 11 = 0 makes an angle sin^-1 (α) with .e-axis. The value of a is equal to
	A. \(\frac{√3}{2}\)
	B. \(\frac{√2}{3}\)
	C. \(\frac{2}{7}\)
	D. \(\frac{3}{7}\)

Ans: \(\frac{2}{7}\)

Q20.	The cosines of the angle between any two diagonals of a cube is
	A. \(\frac{1}{3}\)
	B. \(\frac{1}{2}\)
	C. \(\frac{2}{3}\)
	D. \(\frac{1}{√3}\)

Ans: \(\frac{1}{3}\)

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT SOLUTIONS FOR CLASS 12

MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry with Answers

MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry with Answers Set-B

Three Dimensional Geometry Class 12 Maths MCQs Questions with Answers

Class 12 Maths Chapter 11 Quiz

Class 12 Maths Chapter 11 MCQ Online Test

Three Dimensional Geometry Class 12 Maths MCQ online test

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT Solution of Maths Class 12 Chapter 1

NCERT Solution of Maths Class 12 Chapter 2

NCERT Solution of Maths Class 12 Chapter 3

NCERT Solution of Maths Class 12 Chapter 4

NCERT Solution of Maths Class 12 Chapter 5

NCERT Solution of Maths Class 12 Chapter 6

NCERT Solution of Maths Class 12 Chapter 7

NCERT Solution of Maths Class 12 Chapter 8

NCERT Solution of Maths Class 12 Chapter 9

NCERT Solution of Maths Class 12 Chapter 10

NCERT Solution of Maths Class 12 Chapter 11

NCERT Solution of Maths Class 12 Chapter 12

NCERT Solution of Maths Class 12 Chapter 13

MCQ QUESTIONS WITH ANSWER

NCERT SOLUTIONS FOR CLASS 12

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