Parametric Equations and Variables Relation Quiz
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Questions and Answers

What is the term for a situation where the relation between two variables is expressed using a third variable?

  • Parametric relation (correct)
  • Implicit relation
  • Direct relation
  • Inverse relation
  • In the context of parametric relations, what is the role of the third variable?

  • It has no role in the relation
  • It is the dependent variable
  • It is the independent variable
  • It establishes a link between the two variables (correct)
  • How do we express the relation between two variables in parametric form?

  • $x = f(y), y = g(x)$
  • $x = t, y = t$
  • $x = f(t), y = g(t)$ (correct)
  • $x = f(x), y = g(y)$
  • What happens when the relation between two variables is expressed via a third variable?

    <p>It becomes a parametric relation</p> Signup and view all the answers

    Study Notes

    Parametric Relations

    • The term for a situation where the relation between two variables is expressed using a third variable is called parametric relation.

    Role of the Third Variable

    • In the context of parametric relations, the third variable acts as a parameter, which helps to express the relationship between the two original variables.

    Expressing Relations in Parametric Form

    • To express the relation between two variables in parametric form, we introduce a third variable t (parameter) and define each of the original variables as a function of t.

    Characteristics of Parametric Relations

    • When the relation between two variables is expressed via a third variable, it means that the relationship between the original variables is indirect, and the third variable serves as a bridge to connect them.

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    Description

    Test your knowledge on parametric equations and the relation between variables expressed via a third parameter. Explore how a third variable, known as the parameter, can establish a connection between two variables in parametric form.

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