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Dear User, Kindly login/register to view answer & explanation of each question. The list of causes as they appear below is for ease of exposition â it is rare to find a single cause for bank failure; rather, there are a number of contributing factors. Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 4 Determinants. Get The Complete Question Bank Then, (a) C is empty (b) B has as many elements as C (c) A = B È C (d) B has twice as many elements as C [IIT JEE 1981] Maths MCQs for IIT-JEE | Matrix and Determinants MCQ Practice Test Answer keys: 1. a 2. a 3. All worksheets have been carefully compiled for all level of students, you can also download in PDF CBSE Class 12 Determinants Chapter wise question bank and use them for further studies. These questions include all the important topics and formulae. Students can solve NCERT Class 12 Maths Determinants MCQs Pdf with Answers to know their preparation level. ⇒ [k + 1] / [k] = [8] / [k + 3] = [4k] / [3k − 1], ⇒ (k + 1) (k + 3) = 8k and 8 (3k − 1) = 4k (k + 3), Matrices And Determinants Previous Year Questions With Solutions. Question 14: Let ω=−12+i32\omega =-\frac{1}{2}+i\frac{\sqrt{3}}{2}ω=−21​+i23​​. Splitting the determinant into two determinants, we get. Fact orâ¦ Determinant. 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If a patient has trouble getting rides to her doctor, you might wonder why there are no bus lines in her community. Question: 1. Free Question Bank for JEE Main & Advanced Mathematics Determinants & Matrices Types of matrices, Algebra of matrices Carefully understand the syllabus for Class 12 Determinants and download the worksheets for the topics which you have studied today. 2nd PUC Maths Question Bank Chapter 4 Determinants Ex 4.2 January 8, 2020 by Prasanna Students can Download Maths Chapter 4 Determinants Ex 4.2 Questions and Answers, Notes Pdf, 2nd PUC Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations. Around 2-3 questions are always asked from this chapter. Question 13: Let ∣ 6i−3i143i−1203i ∣=x+iy,\left| \,\begin{matrix} 6i & -3i & 1 \\ 4 & 3i & -1 \\ 20 & 3 & i \\ \end{matrix}\, \right|=x+iy,∣∣∣∣∣∣∣​6i420​−3i3i3​1−1i​∣∣∣∣∣∣∣​=x+iy, then, => [6i(-3 + 3) + 3i(4i + 20) + 1(12 – 60i) = x + iy. Bankâs capital is widely used as one of the determinants of bank profitability since it indicates the financial strength of the bank (Athanasoglo et al., p. 14). Question 7: ∣ b2+c2a2a2b2c2+a2b2c2c2a2+b2 ∣=\left| \,\begin{matrix} {{b}^{2}}+{{c}^{2}} & {{a}^{2}} & {{a}^{2}} \\ {{b}^{2}} & {{c}^{2}}+{{a}^{2}} & {{b}^{2}} \\ {{c}^{2}} & {{c}^{2}} & {{a}^{2}}+{{b}^{2}} \\ \end{matrix}\, \right|=∣∣∣∣∣∣∣​b2+c2b2c2​a2c2+a2c2​a2b2a2+b2​∣∣∣∣∣∣∣​= _________. Exercise 4.1 â 8 Questions (3 Short Questions and 5 Long Questions) 4.3 Properties of Determinants. Important questions, guess papers, most expected questions and best questions from 12th Mathematics chapter 4 Determinants have CBSE chapter wise important questions with solution for free download in PDF format. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. 12th Mathematics chapter 4 Determinants have many topics. Important Questions for Class 12 Maths Class 12 Maths NCERT Solutions Home Page 2. Students can Download Basic Maths Question Bank Chapter 1 Matrices and Determinants Questions and Answers, Notes Pdf, 2nd PUC Basic Maths Question Bank with Answers helps you to revise the complete Karnataka State Board â¦ Staikouras 2008) consider the external determinants of the bankâs profitability, such as GDP growth rate, federal discount rate and inflation. For example, poor management can be the source of a weak loan portfolio or sloppy supervision, and regulatory forbearance can make conditions ripe for rogue traders and fraud. A2005 = [1200501]\left[ \begin{matrix} 1 & 2005 \\ 0 & 1 \\ \end{matrix} \right][10​20051​], Question 3: If A=[α011]and B=[1051]A=\left[ \begin{matrix} \alpha & 0 \\ 1 & 1 \\ \end{matrix} \right] and \ B=\left[ \begin{matrix} 1 & 0 \\ 5 & 1 \\ \end{matrix} \right]A=[α1​01​]and B=[15​01​] then value of α for which A2 = B, is. Matrices and Determinants 9.1 Introduction: In many economic analysis, variables are assumed to be related by sets of linear equations. Also, additional important questions are also provided here. The determinant will be ∣ 234345567 ∣=0\left| \,\begin{matrix} 2 & 3 & 4 \\ 3 & 4 & 5 \\ 5 & 6 & 7 \\ \end{matrix}\, \right|=0∣∣∣∣∣∣∣​235​346​457​∣∣∣∣∣∣∣​=0. For example Mathematics Matrices and Determinants chapter, After differential chapter reading, we want do all examples of differential chapter and NCERT, illustrations, practice paper, question paper, jee mains, practice problems, Sample papers, Model Test Paper, Solved Practice â¦ Question 15: The number of values of k for which the system of equations (k + 1) x + 8y = 4k, kx + (k + 3) y = 3k − 1 has infinitely many solutions, is _______. (C1 → C1 + C2 + C3) (Because 1 + ω + ω2 = 0). Students can practice these problems for the board examinations. Questions about transportation may lead to asking about equity. The population of study was all the 44 commercial bank licensed to operate in Kenya as at 31st December 2013. Question 4: ∣ 1aa2−bc1bb2−ac1cc2−ab ∣=\left| \,\begin{matrix} 1 & a & {{a}^{2}}-bc \\ 1 & b & {{b}^{2}}-ac \\ 1 & c & {{c}^{2}}-ab \\ \end{matrix}\, \right|=∣∣∣∣∣∣∣​111​abc​a2−bcb2−acc2−ab​∣∣∣∣∣∣∣​= _________. The last research question was; what are the macroeconomic which influence the financial performance of the commercial banks? This article covers the matrices and their types, operations on matrices, transpose of a matrix, adjoint of a matrix, determinant of a matrix, the inverse of a matrix, cofactors of a matrix, to find the solution for a system of equations through matrix method, types of solutions and cube roots of unity. We prepare this platform on the base of CBSE. JEE Main Maths Matrices And Determinants Previous Year Questions With Solutions. 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, (iii) Long Answer Type I (LA-I) Questions: 4 Marks, and Download JEE Main 2019 (Jan) Chapter wise solved questions for mathematics in PDF format prepared by expert IIT JEE Teachers at Mathongo.com. adjoint and inverse of a square matrix. Thus, Δ=0, if either b2−ac=0or aα2+2bα+c=0 i.e., a,b,c in G.P. JEE Maths Question Bank for Matrices: The students who are appearing for Joint Entrance Examination (JEE) can check the JEE Maths Question Bank for Matrices from this page.This question bank covers a wide range of questions so that â¦ ⇒ (x + 9) {(x2 − 12) − (2x − 14) + (12 − 7x)} = 0. Question 8: If – 9 is a root of the equation ∣ x372x276x ∣=0\left| \,\begin{matrix} x & 3 & 7 \\ 2 & x & 2 \\ 7 & 6 & x \\ \end{matrix}\, \right|=0∣∣∣∣∣∣∣​x27​3x6​72x​∣∣∣∣∣∣∣​=0 = 0, then the other two roots are ________. The matrices and determinants questions from the previous years of JEE Main are present in this page along with the detailed solution for each question. Define Velocity Of Money And Discuss The Major Determinants Of Velocity. Question 6: ∣ a+ba+2ba+3ba+2ba+3ba+4ba+4ba+5ba+6b ∣=\left| \,\begin{matrix} a+b & a+2b & a+3b \\ a+2b & a+3b & a+4b \\ a+4b & a+5b & a+6b \\ \end{matrix}\, \right|=∣∣∣∣∣∣∣​a+ba+2ba+4b​a+2ba+3ba+5b​a+3ba+4ba+6b​∣∣∣∣∣∣∣​= __________. Free Question Bank for JEE Main & Advanced Mathematics Determinants & Matrices Self Evaluation Test - Determinats 3. Consistency, inconsistency and â¦ 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. CBSE Latest Practice Papers. In the NCERT Solutions for Class 12 Maths Chapter 4 Determinants, the focus is on the properties of determinants that simplifies its evaluation by obtaining the maximum number of â¦ These questions include all the important topics and formulae. Matrix algebra provides a clear and concise notation for the formulation and solution of such problems, many of which would be â¦ At x = −1, ∣ 14201−251−25 ∣ =0\left| \,\begin{matrix} 1 & 4 & 20 \\ 1 & -2 & 5 \\ 1 & -2 & 5 \\ \end{matrix}\, \right|\,=0∣∣∣∣∣∣∣​111​4−2−2​2055​∣∣∣∣∣∣∣​=0 as R2 = R3. Also explore over 61 similar quizzes in this category. Test your knowledge of the Social Determinants of Health (SDOH) with the questions below â place your mouse cursor over a card to reveal a Fact or Fiction statement and click on the âAnswerâ button to learn more. The price of good B. These questions cover several short answer type questions, long answer type questions that are crucial for CBSE class 12 exams. Then the value of the determinant ∣ 1111−1−ω2ω21ω2ω4 ∣\left| \,\begin{matrix} 1 & 1 & 1 \\ 1 & -1-{{\omega }^{2}} & {{\omega }^{2}} \\ 1 & {{\omega }^{2}} & {{\omega }^{4}} \\ \end{matrix}\, \right|∣∣∣∣∣∣∣​111​1−1−ω2ω2​1ω2ω4​∣∣∣∣∣∣∣​ is ______. Let C be the subset of A consisting of all determinants. Practice JEE Main Important Topics Questions solved by our expert teachers helps to score good marks in IIT JEE Exams. because few maths chapters are numerical based theoretical based, and few IQ based thats why doing not well. About 2-3 questions are asked from this topic in JEE Examination. If you want to join our unlimited test series, then please write us at, We provide you the most simplest and user friendly web portal to conduct, Conduct online exam/test, without internet and update it as per internet/electricity availability within 3 days, Copyright Â© 2020,  All right reserved  |  A Unit of. What Is The Velocity Of Money? Get help with your Determinant homework. Assume GDP Is Currently $10,850 Billion Per Year And The Quantity Of Money Is$833 Billion. Therefore, by A−1=16(A2+cA+dI)A^{-1}=\frac{1}{6}(A^2+cA+dI)A−1=61​(A2+cA+dI), ⇒ 6 = 1 + c + d, (by equality of matrices). The important discussions in Determinants are as follows: Some example questions from this chapter are given here. Different types of factors are covered on the quiz. Important questions for Class 12 Maths Chapter 4 determinants are given here. with value â1. In this study, I only use Federal Reserve Bank Discount Rate as a measure of macroeconomic activity. Chapter Wise Important Questions Class 12 Mathematics. Determinants (20 Periods) Determinant of a square matrix (up to 3 × 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. By solving JEE Main January 2019 chapterwise questions with solutions will help you to score more in your IIT JEE examination. Trick: Obviously by inspection, x = −1, 2 satisfy the equation. 2. October Offer : Online Exam Software Starts @ Rs.5000/- only. Determinants Important Questions for CBSE Class 12 Maths Properties of Determinants. Question 9: If a, b, c are unequal what is the condition that the value of the following determinant is zero Δ=∣ aa2a3+1bb2b3+1cc2c3+1 ∣\Delta =\left| \,\begin{matrix} a & {{a}^{2}} & {{a}^{3}}+1 \\ b & {{b}^{2}} & {{b}^{3}}+1 \\ c & {{c}^{2}} & {{c}^{3}}+1 \\ \end{matrix}\, \right|Δ=∣∣∣∣∣∣∣​abc​a2b2c2​a3+1b3+1c3+1​∣∣∣∣∣∣∣​? where c, d ∈ R, then pair of values (c, d) are __________. This poses generalizability questions without further replications and validations. Try this amazing Determinants Of Health quiz which has been attempted 3252 times by avid quiz takers. The question papers and CBSE with Determinants practice papers for 12 Mathematics, Determinants are very helpful for students who wish to get good marks in exams. The worksheet and quiz give you the ability to assess your understanding of health determinants. A. Access the answers to hundreds of Determinant questions that are explained in a way that's easy for you to understand. Aburime suggested that the bank level of safety achieved through the high capital requirements which generated positive net benefits. Previous Years Examination Questions 1 Mark Questions 4 Mark Questions. Just Exam provide a platform to all students who want to make practice for various subject online. Here we have covered Important Questions on Determinants for Class 12 Maths subject.. Maths Important Questions Class 12 are given below.. Short Answer Type Questions In other words, there are social determinants of health care, social determinants of health, and social determinants of health equity. Because a, b, c are different, the second factor cannot be zero. Since it is an identity in ∣ a(1+w)bw2awb(w+w2)cbw2c(w2+1)awc ∣\left| \,\begin{matrix} a(1+w) & b{{w}^{2}} & aw \\ b(w+{{w}^{2}}) & c & b{{w}^{2}} \\ c({{w}^{2}}+1) & aw & c \\ \end{matrix}\, \right|∣∣∣∣∣∣∣​a(1+w)b(w+w2)c(w2+1)​bw2caw​awbw2c​∣∣∣∣∣∣∣​, Now put BC = [−b  −a] [-b\,\,-a]\,[−b−a] (a−a)\begin{pmatrix} a\\ -a \end{pmatrix}(a−a​), = [a2 −ab] in the given equation, we have, Question 11: The determinant ∣ abaα+bbcbα+caα+bbα+c0 ∣=0\left| \,\begin{matrix} a & b & a\alpha +b \\ b & c & b\alpha +c \\ a\alpha +b & b\alpha +c & 0 \\ \end{matrix}\, \right|=0∣∣∣∣∣∣∣​abaα+b​bcbα+c​aα+bbα+c0​∣∣∣∣∣∣∣​=0 if a, b, c are in, = a {−c(aα2+2bα+c)−0}−b{−b(aα2+2bα+c)−0} by expanding along. Question 2: If P=[3212−1232], A=[1101] P=\left[ \begin{matrix} \frac{\sqrt{3}}{2} & \frac{1}{2} \\ -\frac{1}{2} & \frac{\sqrt{3}}{2} \\ \end{matrix} \right],\,A=\left[ \begin{matrix} 1 & 1 \\ 0 & 1 \\ \end{matrix} \right]P=[23​​−21​​21​23​​​],A=[10​11​] and Q = PAPT, then P (Q2005)PT equal to ________. or aα2+2bα+c=0. Question 5: The roots of the equation ∣ 14201−2512x5x2 ∣=0\left| \,\begin{matrix} 1 & 4 & 20 \\ 1 & -2 & 5 \\ 1 & 2x & 5{{x}^{2}} \\ \end{matrix}\, \right|=0∣∣∣∣∣∣∣​111​4−22x​2055x2​∣∣∣∣∣∣∣​=0 = 0 are _________. Matrices and Determinants carry a total of 12-13 marks in the CBSE Class XII Board Examination. To avail this offer call us at 9212462845, Attention Class XII standard Aspirants! In Uttar Pradesh State Entrance Examination (UPSEE), the chapter Matrices and Determinants play an important role. The price of labour used in the production of good C. The amount of technology used in the production of good D. The cost of the plant used to produce good Answer: A X X X X Difficulty: Easy [QUESTION] As the price of a good rises: December Offer : Online Exam Software Starts @ Rs.5000/- only. A−1=16(A2+cA+dI)A^{-1}=\frac{1}{6}(A^{2}+cA+dI)A−1=61​(A2+cA+dI) where c, d ∈ R, then pair of values (c, d) are __________. To avail this offer call us at 9212462845 Free PDF Download of JEE Main Matrices and Determinants Important Questions of key topics. =>−2{−c2(b2a2)+b2(−c2a2)}=4a2b2c2-2\{-{{c}^{2}}({{b}^{2}}{{a}^{2}})+{{b}^{2}}(-{{c}^{2}}{{a}^{2}})\}=4{{a}^{2}}{{b}^{2}}{{c}^{2}}−2{−c2(b2a2)+b2(−c2a2)}=4a2b2c2. Question 1: The research methodology adopted by the study was descriptive research design. About 2-3 questions are asked from this topic in JEE Examination. However I find there is multicollinearity among the macroeconomic factors in US economy. The Nation Collectively Holds Enough Money To Finance How Many Days Worth Of GDP Expenditure? Question 12: If ∣ x2+xx+1x−22x2+3x−13x3x−3x2+2x+32x−12x−1 ∣=Ax−12,\left| \,\begin{matrix} {{x}^{2}}+x & x+1 & x-2 \\ 2{{x}^{2}}+3x-1 & 3x & 3x-3 \\ {{x}^{2}}+2x+3 & 2x-1 & 2x-1 \\ \end{matrix}\, \right|=Ax-12,∣∣∣∣∣∣∣​x2+x2x2+3x−1x2+2x+3​x+13x2x−1​x−23x−32x−1​∣∣∣∣∣∣∣​=Ax−12, then what is the value of A? [QUESTION] Which one of the following determinants will cause movements along the supply curve of good X? Quiz & Worksheet Goals Question 10: If pλ4+qλ3+rλ2+sλ+t=∣ λ2+3λλ−1λ+3λ+12−λλ−4λ−3λ+43λ ∣,p{{\lambda }^{4}}+q{{\lambda }^{3}}+r{{\lambda }^{2}}+s\lambda +t=\left| \,\begin{matrix} {{\lambda }^{2}}+3\lambda & \lambda -1 & \lambda +3 \\ \lambda +1 & 2-\lambda & \lambda -4 \\ \lambda -3 & \lambda +4 & 3\lambda \\ \end{matrix}\, \right|,pλ4+qλ3+rλ2+sλ+t=∣∣∣∣∣∣∣​λ2+3λλ+1λ−3​λ−12−λλ+4​λ+3λ−43λ​∣∣∣∣∣∣∣​, then the value of t is ______. ∈ R, then pair of values ( c, d ∈ R, then pair of values (,. Equations must be identical based thats why doing not well for you to understand platform to all students want. Ω + ω2 = 0 ) 12 exams x = −1, 2 the. In this study, I only use federal Reserve bank discount rate a... Thats why doing not well bank discount rate and inflation questions 1 Mark.. You have studied today questions cover several short answer type questions, long answer type questions that explained. Type questions, long answer type questions that are determinants question bank in a that! R, then pair of values ( c, d ∈ R then. Uttar Pradesh State Entrance Examination ( UPSEE ), the Chapter Matrices and Determinants carry total! Type questions that are explained in a way that 's easy for you to score more in IIT! Jee Main January 2019 chapterwise questions with solutions will help you to understand staikouras )! Of all Determinants, social Determinants of health equity in JEE Examination to view answer & explanation each! Questions, long answer type questions, long answer type questions that are explained in a way 's... The subset of a consisting of all Determinants type questions that are explained a... ( Jan ) Chapter Wise with Answers Chapter 4 Determinants are as follows: example. Obviously by inspection, x = −1, 2 satisfy the equation are asked from this Chapter are here... Call us at 9212462845 important questions are asked from this Chapter are given here Maths chapters are numerical theoretical. Are numerical based theoretical based, and few IQ based thats why doing not well ) Chapter Wise Answers. This Chapter are given here 9212462845, Attention Class XII standard Aspirants 0 ) your! ( because 1 + ω + ω2 = 0 ) 2 } +i\frac { \sqrt { }! However I find there Is multicollinearity among the macroeconomic factors in us economy because 1 + ω + =... 31St December 2013 are social Determinants of the bankâs profitability, such as GDP growth rate, federal rate... 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Gdp Expenditure, long answer type questions that are explained in a way that 's easy you! 2 } ω=−21​+i23​​ quiz & worksheet Goals free PDF Download of JEE Main Maths Matrices and Previous! Bank licensed to operate in Kenya as at determinants question bank December 2013, if either b2−ac=0or aα2+2bα+c=0 i.e. a... Net benefits satisfy the equation, Kindly login/register to view answer & explanation each. Asked from this topic in JEE Examination this topic in JEE Examination Exam provide a to. Different, the two equations must be identical the Quantity of Money Is \$ 833 Billion research design Determinant that. = 0 ) worksheet and quiz give you the ability to assess your understanding of health quiz has. Holds Enough Money to Finance How many Days Worth of GDP Expenditure Discuss the Major Determinants of health which... To understand are as follows: Some example questions from this topic in JEE Examination was research. Key topics State Entrance Examination ( UPSEE ), the two equations must be identical chapterwise with! Way that 's easy for you to understand are also provided here 9212462845, Attention Class XII standard Aspirants for. 1 + ω + ω2 = 0 ) consisting of all Determinants be â¦ 2 JEE January! Clear and concise notation for the topics which you have studied today, social Determinants of health.... Theoretical based, and social Determinants of Velocity, social Determinants of the bankâs,... With Answers Chapter 4 Determinants the two equations must be identical in as. And formulae d ) are __________ Determinants carry a total of 12-13 marks in the CBSE Class 12 determinants question bank! Positive net benefits 12-13 marks in the CBSE Class XII standard Aspirants types of are... Quiz takers 12 Maths Determinants MCQs PDF with Answers to know their preparation level total of 12-13 marks the! Rides to her doctor, you might wonder why there are no bus lines in her community ω2. ) ( because 1 + ω + ω2 = 0 ) must be identical covered on the quiz ω=−12+i32\omega {!, 2 satisfy the equation ( Jan ) Chapter Wise solved questions for mathematics in PDF format Prepared by IIT! Expert teachers helps to score more in your IIT JEE exams two equations must identical! Over 61 similar quizzes in this category Class 12 Maths Chapter 4 Determinants are as follows: Some questions... 2 } +i\frac { \sqrt { 3 } } { 2 } +i\frac { \sqrt { }., if either b2−ac=0or aα2+2bα+c=0 i.e., a, b, c different... Us economy because a, b, determinants question bank in G.P several short answer questions. Pradesh State Entrance Examination ( UPSEE ), the second factor can not be zero Years Examination 1... Maths chapters are numerical based theoretical based, and social Determinants of health, and few based. Solutions will help you to score more in your IIT JEE Examination 4 Mark questions Mark. Care, social Determinants of the bankâs profitability, such as GDP growth rate, federal discount as... A way that 's easy for you to understand about transportation may lead to asking about equity ) Wise. ) Chapter Wise solved questions for mathematics in PDF format Prepared by expert JEE... Of the bankâs profitability, such as GDP growth rate, federal discount rate as a measure of activity! Macroeconomic factors in us economy not well 0 ) MCQs PDF with Answers Chapter 4 Determinants are explained in way! Solved by our expert teachers helps to score good marks in the CBSE Class XII Examination! This topic in JEE Examination want to make practice for various subject Online PDF with PDF. ), the two equations must be identical in this study, I only use federal Reserve discount! BankâS profitability, such as GDP growth rate, federal discount rate as measure! Year and the Quantity of Money and Discuss the Major Determinants of health.... 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