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Coefficient of Variable Video Lecture | Mathematics (Maths) Class 10

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FAQs on Coefficient of Variable Video Lecture - Mathematics (Maths) Class 10

1. What is the coefficient of a variable?
Ans. The coefficient of a variable is the numerical constant that multiplies the variable in an algebraic expression. It determines the scale or size of the variable's impact on the expression.
2. How is the coefficient of a variable calculated?
Ans. To calculate the coefficient of a variable, you need to identify the term containing the variable and the numerical constant that multiplies it. The coefficient is then the value of that constant.
3. What does the coefficient of a variable represent in a linear equation?
Ans. In a linear equation, the coefficient of a variable represents the rate of change or slope. It indicates how much the dependent variable changes for each unit increase in the independent variable.
4. Can the coefficient of a variable be negative?
Ans. Yes, the coefficient of a variable can be negative. A negative coefficient indicates an inverse relationship between the variable and the expression. As the variable increases, the expression decreases.
5. How does the coefficient of a variable affect the shape of a quadratic function?
Ans. The coefficient of the quadratic term (variable squared) in a quadratic function determines the shape of the graph. If the coefficient is positive, the graph opens upward, creating a U-shape. If the coefficient is negative, the graph opens downward, creating an inverted U-shape.
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