4 Questions
What is the term for a situation where the relation between two variables is expressed using a third variable?
Parametric relation
In the context of parametric relations, what is the role of the third variable?
It establishes a link between the two variables
How do we express the relation between two variables in parametric form?
$x = f(t), y = g(t)$
What happens when the relation between two variables is expressed via a third variable?
It becomes a parametric relation
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.
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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