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Questions and Answers
What method can be used to solve quadratic equations?
What method can be used to solve quadratic equations?
What is the application of linear equations in two variables?
What is the application of linear equations in two variables?
What term is used to describe a payment plan for a large purchase?
What term is used to describe a payment plan for a large purchase?
What is the sum of 'n' terms of an A.P.?
What is the sum of 'n' terms of an A.P.?
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What type of sequence is formed by the general terms of an A.P.?
What type of sequence is formed by the general terms of an A.P.?
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Study Notes
System of Linear Equations in Two Variables
- A system of linear equations in two variables involves two or more equations that must be solved simultaneously
- The algebraic method is used to solve these equations
Solution of Linear Equations in Two Variables
- Linear equations in two variables have applications in solving simple problems, such as:
- Finding the cost of items
- Calculating the number of items that can be purchased
Quadratic Equations
- Quadratic equations are polynomial equations of degree two
- Solutions to quadratic equations can be found by:
- Factorisation
- Quadratic formula
Applications of Quadratic Equations
- Quadratic equations have applications in solving simple problems, such as:
- Finding the maximum or minimum value of a quadratic function
- Solving problems involving area and perimeter of rectangles
Arithmetic Progressions (A.P.)
- An Arithmetic Progression (A.P.) is a sequence of numbers in which each term after the first is obtained by adding a fixed constant to the previous term
- General terms of an A.P. can be represented by an = a + (n-1)d, where a is the first term and d is the common difference
- The sum to n-terms of an A.P. can be calculated using the formula Sn = n/2(2a + (n-1)d)
Applications of A.P.
- A.P. has applications in instalment payment and instalment buying
- Instalment payment involves paying a fixed amount at regular intervals
- Instalment buying involves buying a product by paying a fixed amount at regular intervals
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Description
Test your understanding of linear equations in two variables, quadratic equations, and their applications. Also, assess your knowledge of arithmetic progressions and their uses.
