Question

What are parametric equations used for?

Answer 1

Hint: Questions like these are pretty simple to understand and are easy to solve. These types of problems can be solved efficiently once we get the underlying concepts behind the problem. This particular problem requires some previous knowledge of chapters like geometry and coordinate geometry. Parametric equations are very common in sub chapters like straight lines, circle, parabola, ellipse and hyperbola.

Complete step-by-step answer:
Now we start off with the solution to the given problem by writing that, parametric equations are very common and are a daily bread and butter for coordinate geometry. In topics like straight lines, circles, parabola and ellipse, parametric equations play a very important role. In general, parametric equations are used to represent any point on a curve which is directly or indirectly related to the x and y coordinate on that curve. A general representation of the parametric equation involves an angle represented by theta and a distance represented by ‘r’ or any other characters.

Note: These types of questions require some brush up of chapters like geometry and coordinate geometry. Before using parametric equations in our problems, we need to be very fluent in that, as we must remember that using parametric definitely eases up our problem solving but if used at the wrong place at the wrong time can cause a problem solution to be huge in size and eventually leading to a wrong answer. Parametric equations can be in general used for all types of curves but before using it, we must put that point in the original equation to check for its validity.