(b) [-12, 8] Answer: A) -10 4 B) -22 C) -94 D) -74 2) Find the inverse of the matrix, if it exists. (b) 3 Answer: (d) -25 (d) None of these (a) \(\frac{1}{6}\) cu. (b) 9, Question 58. If \(\left(\frac{1}{2}, \frac{1}{3}, n\right)\) are the direction cosines of a line, then the value of n is Answer: A square matrix which has all its principal diagonal elements as 1’s and all non-diagonal elements as zeros. (a) a, c Questions are expected in the various sections of the question paper corresponding to (i) Very Short Answer Type (VSA) Questions: 1 Mark, (ii) Short Answer Type (SA) Questions: 2 Marks, All the solutions of Algebra of Matrices - Mathematics explained in detail by ⦠Answer: (c) 21 units, Question 4. It is given that, the two matrices are equal. (d) Equilaterala triangle, Question 39. Answer: The vector \(\hat{i}+x \hat{j}+3 \hat{k}\) is rotated through an angle θ and doubled in magnitude, then it becomes \(4 \hat{i}+(4 x-2) \hat{i}+2 \hat{k}\). There chapter wise Practice Questions with complete solutions are available for download in myCBSEguide website and mobile app. Answer: (c) â33 (d) [8, 12] (c) \(-\hat{i}+\hat{j}\), Question 12. (c) 4 3 Answer: (d) {2, 7} (2a + 5b) is The length of longer diagronai of the parallelogram constructed on 5a + 2b and a – 3b. (c) \(\frac{2}{3}\) (b) 2[abc] (c) b, c (a) \(\left\{-\frac{2}{3}, 2\right\}\) Your email address will not be published. Multiple Choice Questions of 12th Class Maths Chapter Wise. (d) \(\cos ^{-1}(1 / 2 \sqrt{3})\) (b) â2 (b) 10 The number of vectors of unit length perpendicular to the vectors a = \(2 \hat{i}+\hat{j}+2 \hat{k}\) and b = \(\hat{j}+\hat{k}\) is Qasim Tariq 06-12-2018 MCQs If you are in search of Multiple Choice Questions Notes of Mathematics Class XII (Mathematics Book-2 MCQs) then you are at right place. (c) -[abc] (d) None of these (c) \(\frac{\pi}{2}\) (a) â3 Answer: (c) \(\hat{i}+2 \hat{j}+3 \hat{k}\) If the vectors \(2 \hat{i}-3 \hat{j}, i+\hat{j}-\hat{k}\) and \(3 \hat{i}-\hat{k}\) form three concurrent edges of a parallelopiped, then the volume of the parallelopiped is (b) 9 Therefore, the corresponding elements present in matrices should be equal to each other. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Class 12 Maths Matrices â Get here the Notes for Class 12 Maths Matrices. (c) 7 (d) Both (a) and (b), Question 37. (c) \(-\frac{3}{2}\), Question 20. (b) \(-\frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2}\), Question 49. Answer: Find the vector. These MCQ's are extremely critical for all CBSE students to score better marks. (c) -6 Answer: Class 12 Matrices Chapter 3 solved by expert teachers. The volume of the tetrahedron whose conterminous edges are \(\hat{j}+\hat{k}, \hat{i}+\hat{k}, i+\hat{j}\) is (b) 3 The vectors from origin to the points A and B are a = \(2 \hat{i}-3 \hat{j}+2 \hat{k}\) and b = \(2 \hat{i}+3 \hat{j}+\hat{k}\), respectively then the area of triangle OAB is Find the magnitude of vector \(3 \hat{i}+2 \hat{j}+12 \hat{k}\). (b) 6 (d) 1 MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. (d) Both (a) and (b), Question 43. If a + b + c = 0, then a à b = Answer: (c) -1, \(\frac{\sqrt{3}}{2}\) (b) -7, Question 28. Students can solve NCERT Class 12 Maths Matrices MCQs Pdf with Answers to know their preparation level. (d) m, d (b) b, d, Question 35. (c) 12â3 (d) infinite (a) 0 The area of parallelogram whose adjacent sides are \(\hat{i}-2 \hat{j}+3 \hat{k}\) and \(2 \hat{i}+\hat{j}-4 \hat{k}\) is (a) λ = -2, Question 19. (c) \(\cos ^{-1}(1 / 3 \sqrt{3})\) The value of x is Answer: A matrix whose all entries are zero. A matrix which has an equal number of rows and columns. (a) neither x nor y, Question 46. Here you can get Class 12 Important Questions Maths based on NCERT Text book for Class XII.Maths Class 12 Important Questions are very helpful to score high marks in board exams.  The scalar matrix is a square matrix, which has all its diagonal elements equal and all the off-diagonal elements as zero. (a) 4 Determinants Class 12 [â¦] Pages: 1 | 2. (a) \(\left\{-\frac{2}{3}, 2\right\}\), Question 42. If unit vector c makes an angle \(\frac{\pi}{3}\) with \(\hat{i} \times \hat{j}\), then minimum and maximum values of \((\hat{i} \times \hat{j}) \cdot c\) respectively are CBSE Class 12th Math 3 â Matrices MCQs If A and B are invertible matrices of the same order, then (AB)-1 = _____. (d) 20, Question 8. (d) \(\frac{1}{\sqrt{6}}(2 \hat{i}-\hat{j}+\hat{k})\), Question 15. Answer: Which of the following represents coinitial vector? (c) 1 + â3 (d) 18â3 (a) 2 The following quizzes are from Matrices, Determinants, their properties & key facts. Answer: Shaalaa has a total of 258 questions with solutions for this chapter in Class 12 Maths. [(u – v) à (v – w)] equals (b) \(\frac{23}{6}\) If |a| = 4 and -3 ⤠λ ⤠2, then the range of |λa| is The unit vector in the direction of the sum of vectors unit If you have any query regarding CBSE Class 12 Maths Vector Algebra MCQs Pdf, drop a comment below and we will get back to you at the earliest. Answer: Candidates who are ambitious to qualify the Class 12 with good score can check this article for Notes. If |a à b| = 4 and |a.b| = 2, then |a|2 |b|2 is equal to Answer: Find answers and solutions to the questions at the bottom of the page. RD Sharma Solutions for Class 12-science Mathematics CBSE, 5 Algebra of Matrices. (b) two Answer: As an example, the left matrix has two rows and 3 columns, whereas the ideal matrix has three rows and 2 columns. Matrix is an important concept of Mathematics. (a) a, c Thank you so much. (b) m, b If a and b are two unit vectors inclined to x-axis at angles 30° and 120° respectively, then |a + b| equals Example Here is a matrix of size 2 2 (an order 2 square matrix): 4 1 3 2 The boldfaced entries lie on the main diagonal of the matrix. (d) \(\frac{21}{2}\) Multiple choice questions and answers on Matrices and Determinants quiz answers PDF 1 to learn math certificate online course. (a) 3 sq. (a) 10â6 (d) 3u.v à w (a) x =1, y = -2, z = -5 Answer: Students can solve NCERT Class 12 Maths Determinants MCQs Pdf with Answers to know their preparation level. Which of the following represents equal vectors? Answer: Answer: (c) \(-\hat{i}+\hat{j}\) CBSE Class 12 Chapter 3 Matrices Extra Questions. units. (a) 0 (a) \(\frac{\pi}{3}\) (b) 5â6, Question 3. (b) \(\frac{1}{3}\) cu. RD Sharma solutions for class 12 maths chapter 5 is provided here. The Matrices Class 12 CBSE NCERT Solutions PDF download has been developed by esteemed academicians who are in the field for quite some time. (c) 50 (a) 4, Question 57. (c) 8 If the order of matrix A is . Matrices for class 12 helps the students for their higher studies, as it covers all the basic topics. Find 2A + 3B. (c) b, m (c) ±60, Question 10. (d) â369 (a) \(\cos ^{-1}(1 / \sqrt{3})\). If |a – b| = |a| = |b| = 1, then the angle between a and b is D)-6 -12 925 1) Perform the matrix operation. (b) 1 – â3 (a) \(\frac{1}{5 \sqrt{2}}(3 \hat{i}+4 \hat{j}+5 \hat{k})\), Question 38. (a) -1 Answer: Students can solve NCERT Class 12 Maths Matrices MCQs Pdf with Answers to know their preparation level. (a) \(\cos ^{-1}(1 / \sqrt{3})\) (c) u.w à v (c) x = -1/2, y = 4, z = 10 (c) -40, Question 59. (d) 9â3 (c) â593 (b) â72 Important Questions for Class 12 Maths Chapter 3 matrices are provided here. Benefits of CBSE NCERT MCQs for Class 12 Matrices and Determinants a) NCERT CBSE KVS Class 12 Matrices and Determinants MCQs will help the kids to strengthen concepts and improve marks in tests and exams. (c) 16 sq. (c) â3 (b) \(-\hat{i}+3 \hat{j}-2 \hat{k}\) (c) Scalene triangle Answer: (a) \(\frac{2}{3}\), Question 17. (a) 4 (d) 2, Question 30. Answer: The horizontal array of elements in the matrix is called rows, and the vertical array of elements are called the columns. Find the value of λ so that the vectors \(2 \hat{i}-4 \hat{j}+\hat{k}\) and \(4 \hat{i}-8 \hat{j}+\lambda \hat{k}\) are perpendicular. Answer: (c) [0, 12] Answer: Answer: (a) λ = -2 The numbers in the array are called the entities or the elements of the matrix. (b) \(\frac{3}{2}\) If |a + b| = |a – b|, then angle between a and b is (a â 0, b â 0) (b) 25 Go through the notes on class 12 matrices to score good marks in the examinations. (c) \(-\frac{3}{2}\) (c) 12â3, Question 45. (c) \(\pi \geq \theta>\frac{2 \pi}{3}\), Question 16. (d) \(\hat{i}-3 \hat{j}-3 \hat{k}\) A matrix is a rectangular array of numbers, arranged in columns and rows. (c) 0 Answer: Students can practise these questions for the board examination to score well. (c) \(\frac{1}{\sqrt{2}}(\hat{i}+\hat{j})\), Question 25. (b) \(-\frac{21}{2}\), Question 24. (b) 10 (b) 3, Question 6. Here we have covered Important Questions on Matrices for Class 12 Maths subject.. Maths Important Questions Class 12 are given below.. Short Answer Type Questions Furthermore, access the Chapter Wise MCQs of Class 12 Maths and ⦠Here is a matrix of size 2 3 (â2 by 3â), because it has 2 rows and 3 columns: 10 2 015 The matrix consists of 6 entries or elements. (d) Both (a) and (b) Answer: (d) 2, Question 9. Answer: (a) \(\frac{2}{3}\) Answer: Students can practice CBSE Class 12 Maths MCQs Multiple Choice Questions with Answers to ⦠(a) 4â3 units (a) one (b) -4 or 0, Question 31. (b) two, Question 22. (b) \(\left\{\frac{1}{3}, 2\right\}\) I. a, b, c are three vectors, such that a + b + c = 0, |a|= 1, |b|= 2, |c|= 3, then a.b + b.c + c is equal to (b) \(-\frac{21}{2}\) If O is origin and C is the mid point of A(2, -1) and B(-4, 3), then the value of OC is (c) â229 (c) 2 Practice these important problems, which are ⦠Answer: Students should solve the CBSE issued sample papers to understand the pattern of the question paper which will come in class 12 board You can prepare effectively for the Class 12 Maths Exam as they help you be familiar with the kind of questions appearing in the exam. units Answer: (d) \(\frac{\pi}{2}\), Question 29. (a) 0, Question 56. (b) \(\frac{\pi}{6}\) (i) The order of both the matrices are the same, (ii) Each element of one matrix is equal to the corresponding element of the other matrix. If the angle between \(\hat{i}+\hat{k}\) and \(\hat{i}+\hat{j}+a \hat{k}\) is \(\frac{\pi}{3}\), then the value of a is (d) [abc] Matrices and Determinants carry a total of 12-13 marks in the CBSE Class XII Board Examination. (c) -3, Question 54. (c) \(\frac{1}{2}\) cu. (d) All of these Students can solve NCERT Class 12 Maths Determinants MCQs Pdf with Answers to know their preparation level.
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