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If A = `[(2,-3,5),(3,2,-4),(1,1,-2)]` find A−1. Using A−1 solve the system of equations:
2x – 3y + 5z = 11
3x + 2y – 4z = –5
x + y – 2z = –3
Concept: Applications of Determinants and Matrices
Find the area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x2 + y2 = 32.
Concept: Area Under Simple Curves
Find the differential equation representing the family of curves `y = ae^(bx + 5)`. where a and b are arbitrary constants.
Concept: Formation of a Differential Equation Whose General Solution is Given
Find the vector equation of the line passing through the point A(1, 2, –1) and parallel to the line 5x – 25 = 14 – 7y = 35z.
Concept: Product of Two Vectors >> Projection of a Vector on a Line
Find the magnitude of each of two vectors `veca` and `vecb` having the same magnitude such that the angle between them is 60° and their scalar product is `9/2`
Concept: Product of Two Vectors >> Scalar (Or Dot) Product of Two Vectors
If θ is the angle between two vectors `hati - 2hatj + 3hatk and 3hati - 2hatj + hatk` find `sin theta`
Concept: Product of Two Vectors >> Vector (Or Cross) Product of Two Vectors
Define Flexibility.
Concept: Flexibility and Its Importance
In the midst of severe competition and many conflicts in 1989, a consensus appeared to have emerged among most parties. Explain any three points of consensus.
Concept: Political Conflicts Overlanguage
Explain any three components of the accounts group 'Current Liabilities'.
Concept: Grouping of Accounts
State the objectives of 'Analysis of Financial Statements'.
Concept: Concept of Financial Statements
Financial Statements are prepared following the constituent accounting concepts principles procedures and also the legal environment in which the business organisation operate. These statements are the source of information on the basis of which conclusions are drawn about the profitability and financial position of a company so that their users can easily understand and use them in their economic decisions in a meaningful way.
From the above statements identify any two values that a company should observe while preparing its financial statements. Also, State under which major headings and sub-headings the following items will be presented in the Balance Sheet of a company as per Schedule III of the Companies Act 2013
(1) Capital Reserve
(2) Calls-in-Advance
(3) Loose Tools
(4) Bank overdraft
Concept: Concept of Financial Statements
Calculate Revenue from operations of BN Ltd. From the following information:
| Current assets | ₹ 8,00,000. |
| Quick ratio is | 1.5: 1 |
| Current ratio is | 2: 1 |
| Inventory turnover ratio is | 6 times. |
Goods were sold at a profit of 25% on cost.
Concept: Activity Ratios >> Inventory Turnover Ratio
State the steps to construct Bank-Reconciliation statement using Tally.
Concept: Application in Generating Accounting Information - Bank Reconciliation Statement
______ means any offer of securities to a select group of persons by a company other than by way of the public offer.
Concept: Concept of Private Placement
No debenture redemption reserve is required for debentures issued by ______.
Concept: Creation of Debenture Redemption Reserve
State the objectives of 'Analysis of Financial Statements'.
Concept: Concept of Financial Statements
Financial Statements are prepared following the constituent accounting concepts principles procedures and also the legal environment in which the business organisation operate. These statements are the source of information on the basis of which conclusions are drawn about the profitability and financial position of a company so that their users can easily understand and use them in their economic decisions in a meaningful way.
From the above statements identify any two values that a company should observe while preparing its financial statements. Also, State under which major headings and sub-headings the following items will be presented in the Balance Sheet of a company as per Schedule III of the Companies Act 2013
(1) Capital Reserve
(2) Calls-in-Advance
(3) Loose Tools
(4) Bank overdraft
Concept: Concept of Financial Statements
Calculate Revenue from operations of BN Ltd. From the following information:
| Current assets | ₹ 8,00,000. |
| Quick ratio is | 1.5: 1 |
| Current ratio is | 2: 1 |
| Inventory turnover ratio is | 6 times. |
Goods were sold at a profit of 25% on cost.
Concept: Activity Ratios >> Inventory Turnover Ratio
Explain the meaning of the term 'Relational database'.
Concept: Logical Structuring of Data in Tables
Explain the meaning of the term 'Query' as a tool of SQL.
Concept: Introduction Data Base Management System for Accounting
