Question

A curve which has 2 endpoints is called an………………………
I.Closed curve
II.Simple curve
III.Open curve
IV.None of the above

Answer 1

Hint: In mathematics, a curve is defined as the path of the continuously moving point or simply it is continuity. There are different types of curves. Here we will understand all the given terminologies and will pick out the correct one to fill in the given blank.

Complete step-by-step answer:
I.Closed curve
Closed curve is defined as the curve that is joined and does not have any endpoints. It is drawn without lifting your hand while drawing and it ends where it was initially started. It encloses certain areas or regions.
Examples of closed curves are: Ellipses, circles, triangles, quadrilaterals, etc.

II.Simple curve – Simple curve is defined as the curve which consists of the single arc of the circle which connects two straights which has the radius of the same magnitude throughout.

III.Open curve – Open curve does not enclose any area or the region by itself and it has two endpoints. They are figures which are not completed using any line-segments or the curves.
For example: Parabola, line segment
From the given multiple choices, the option C is the correct answer.
So, the correct answer is “Option C”.

Note: Understand the different terminologies and apply its concepts accordingly. Remember in the closed curves, the shapes are closed using any line-segment or the curved line whereas in the open curve the shapes are not closed keeping it open and also the starting point and the end points are different.