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Questions and Answers
What is the weightage of Mathematical Logic in the board exam?
Which of the following is not an important exercise in Matrices?
What is the weightage of Differentiation in the board exam?
What is the application of derivatives in optimization problems?
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What is the method used in integration by partial fractions?
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What is the weightage of Probability Distribution in the board exam?
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What is the method used in Time Series Analysis to forecast future values?
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What is the method used in Index Numbers to calculate the price relative?
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What is the name of the distribution that models the number of successes in a fixed number of independent trials?
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What is the name of the theorem that describes the probability of an event, given that another event has occurred?
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Study Notes
Math Chapter 1: Mathematical Logic
- Weightage in board exam: 3-4 marks
- Important questions:
- Negation of a statement
- Quantified statements
- Truth tables
- Trend: Questions from last 5 years' board exams have been repeatedly asked
Math Chapter 2: Matrices
- Weightage in board exam: 3-4 marks
- Important exercises:
- Addition and multiplication of matrices
- Inverse of a matrix
- Application of matrices (e.g., finding the inverse of a matrix)
- Trend: Questions from last 5 years' board exams have been repeatedly asked
Math Chapter 3: Differentiation
- Weightage in board exam: 4-5 marks
- Important exercises:
- Logarithmic differentiation
- Implicit differentiation
- Differentiation of trigonometric functions
- Trend: Questions from last 5 years' board exams have been repeatedly asked
Math Chapter 4: Application of Derivatives
- Weightage in board exam: 4-5 marks
- Important exercises:
- Increasing and decreasing functions
- Maxima and minima problems
- Application of derivatives in optimization problems
- Trend: Questions from last 5 years' board exams have been repeatedly asked
Math Chapter 5: Integration
- Weightage in board exam: 4-5 marks
- Important exercises:
- Integration by substitution
- Integration by partial fractions
- Definite integrals
- Trend: Questions from last 5 years' board exams have been repeatedly asked
Math Chapter 6: Differential Equations
- Weightage in board exam: 3-4 marks
- Important exercises:
- First-order differential equations
- Application of differential equations
- Trend: Questions from last 5 years' board exams have been repeatedly asked
Math Chapter 7: Probability Distribution
- Weightage in board exam: 4-5 marks
- Important exercises:
- Binomial distribution
- Poisson distribution
- Normal distribution
- Trend: Questions from last 5 years' board exams have been repeatedly asked
Probability Distribution
- Important exercises:
- Conditional probability
- Bayes' theorem
- Random variables
Commerce Chapter 1: Commission, Brokerage, and Discount
- Weightage in board exam: 3-4 marks
- Important exercises:
- Commission and brokerage calculations
- Discount calculations
- Trend: Questions from last 5 years' board exams have been repeatedly asked
Commerce Chapter 2: Linear Regression
- Weightage in board exam: 3-4 marks
- Important exercises:
- Method of least squares
- Lines of regression
- Trend: Questions from last 5 years' board exams have been repeatedly asked
Commerce Chapter 3: Time Series Analysis
- Weightage in board exam: 3-4 marks
- Important exercises:
- Moving averages
- Exponential smoothing
- Seasonal variations
- Trend: Questions from last 5 years' board exams have been repeatedly asked
Commerce Chapter 4: Index Numbers
- Weightage in board exam: 3-4 marks
- Important exercises:
- Construction of index numbers
- Price relative method
- Weighted aggregates
- Trend: Questions from last 5 years' board exams have been repeatedly asked
Commerce Chapter 5: Probability Distribution
- Weightage in board exam: 4-5 marks
- Important exercises:
- Binomial distribution
- Poisson distribution
- Normal distribution
- Trend: Questions from last 5 years' board exams have been repeatedly asked
Math Chapters
Chapter 1: Mathematical Logic
- Weightage in board exam: 3-4 marks
- Important topics: negation of a statement, quantified statements, truth tables
Chapter 2: Matrices
- Weightage in board exam: 3-4 marks
- Important exercises: addition and multiplication of matrices, inverse of a matrix, application of matrices
Chapter 3: Differentiation
- Weightage in board exam: 4-5 marks
- Important exercises: logarithmic differentiation, implicit differentiation, differentiation of trigonometric functions
Chapter 4: Application of Derivatives
- Weightage in board exam: 4-5 marks
- Important exercises: increasing and decreasing functions, maxima and minima problems, application of derivatives in optimization problems
Chapter 5: Integration
- Weightage in board exam: 4-5 marks
- Important exercises: integration by substitution, integration by partial fractions, definite integrals
Chapter 6: Differential Equations
- Weightage in board exam: 3-4 marks
- Important exercises: first-order differential equations, application of differential equations
Chapter 7: Probability Distribution
- Weightage in board exam: 4-5 marks
- Important exercises: binomial distribution, Poisson distribution, normal distribution
- Also important: conditional probability, Bayes' theorem, random variables
Commerce Chapters
Chapter 1: Commission, Brokerage, and Discount
- Weightage in board exam: 3-4 marks
- Important exercises: commission and brokerage calculations, discount calculations
Chapter 2: Linear Regression
- Weightage in board exam: 3-4 marks
- Important exercises: method of least squares, lines of regression
Chapter 3: Time Series Analysis
- Weightage in board exam: 3-4 marks
- Important exercises: moving averages, exponential smoothing, seasonal variations
Chapter 4: Index Numbers
- Weightage in board exam: 3-4 marks
- Important exercises: construction of index numbers, price relative method, weighted aggregates
Chapter 5: Probability Distribution
- Weightage in board exam: 4-5 marks
- Important exercises: binomial distribution, Poisson distribution, normal distribution
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Description
Practice quiz covering mathematical logic and matrices, including negation, quantified statements, truth tables, matrix operations, and inverse of a matrix. Key concepts for board exams.
