An ellipse can informally be explained as an oval or a “squished” circle. It is defined as the set of all points in a plane such that the distance from two fixed points (foci) on the plane is constant. The major axis is the axis on which the foci lie; the longer axis of symmetry … Read more

Set of all points in a plane at a fixed distance (radius) from a fixed point (centre). Let the radius of a circle be r and the centre be (h, k) and suppose point P(x, y) be any point on the circle. This means that the distance between (x, y) and (h, k) is r.By … Read more

The geometric definition of a circle can be explained by a plane intersecting a circle. A circle is created when the set of all points that are equidistant from a given point (the centre). Radius is a distance between the centre and any point on the circumference. The diameter cuts the circle in half. A … Read more

Codomain Since you may be dealing with functions and relations unto their depths, knowing better about domain and range sets would be considerable. Codomain of a function The codomain of a function is known to be its set of possible outputs. In other words, codomain is a set of elements that may possibly and logically … Read more

Definition of Domain While you may be dealing with relations and functions, you will probably need to understand the concept of domain and range of a relation. Since the recognition of functions and relations is considered, it would be quite important to make out the domain and range for the same. What is the domain … Read more

Subsets of real numbers especially intervals (with notation) Many quantities in this world that is real can be quantified with the help of real numbers. These could include temperature at a specific time period, revenue that may be generated by the sale of certain products or even the maximum population of Sasquatch that could inhabit … Read more

Among the different types of sets, finite and infinite sets are the two that are generally considered while dealing with mathematics. As per those it could be considered as a way to group similar objects. Sets Any considerable collection of mathematical objects that is well-defined can form a set. These objects could probably be anything … Read more

Among the different types of sets, finite and infinite sets are the two that are generally considered while dealing with mathematics. Both of them are self-explanatory with their names; while ‘finite’ explains it to be countable and ‘infinite’ means uncountable. As we get deeper into this discussion, you would be able to understand things much … Read more

De Morgan’s Law refers to the statement that the complement belonging to union of two Sets, Set A and Set B is equal to an intersection of two sets i.e. Set and Set B’s complement. As per De Morgan’s law, also, the intersection of two sets, Set A and Set B’s complement is equal to … Read more

When the graph of a linear function passes through the points A (x1, y1) and B (x2, y2), then the equation can be written as: $y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})$ It can also be written as: $\frac{y-y_{1}}{y_{2}-y_{1}}=\frac{x-x_{1}}{x_{2}-x_{1}}$ For verifying this equation let P(x,y) be any point on the given line that passes through A(x$_{1}$,y$_{1}$) and B(x$_{2}$,y$_{2}$), as shown in … Read more