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Questions and Answers
What method can be used to solve quadratic equations?
What is the application of linear equations in two variables?
What term is used to describe a payment plan for a large purchase?
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.?
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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.
