A function is a rule which indicates an operation to perform. A function is a relation between input and output. For example, there is a system, which finds the square of the given input. That means the output is a square of the given input.

Laws of Indices

a^m x aⁿ = a^(m+n)

a^m / aⁿ = a^(m-n)

(a^m)ⁿ = a^(mn)

a^(-m) = 1/(a^m)

a⁰ = 1

a¹ = a

A quadrilateral is a polygon with four sides (edges) and four vertices (corners). The word quadrilateral is made of the words quad (meaning four) and lateral (meaning sides). So, quadrilateral is simply a four sided figure.

Two figures are said to be similar, if they have the same shape but not necessarily the same size. If the angles of one triangle are equal to the angles of another triangle, then the triangles are said to be Equiangular. Equiangular triangles have the same shape but may have different sizes. Therefore, equiangular triangles are also called Similar Triangles.

Representing a number as prime factors helps in analysing problems.

Logarithm is the exponent or power to which a stated number called the base is raised to yield a specific number. For example, in the expression 10² = 100, the logarithm of 100 to the base 10 is 2.

The lending and borrowing of money involves the concept of simple interest and compound interest. If you borrow money for certain period of time, you have to return the borrowed sum of money (Principal) with some extra money. This extra money is called Interest.

Mensuration is the branch of Mathematics which deals with the study of geometric shapes, their area, volume and different parameters in geometric objects.

A circle is a locus of all points which are equidistant from a point. If O is a fixed point in a given plane, the set of points in the plane which are at equal distances from O will form a circle.

A triangle is a polygon of three sides. Sum of the angles of a triangle is 180 degrees. Triangles are classified in two general ways: by their sides and by their angles.

Geometry is branch of mathematics concerned with shapes, sizes and properties of figures. Geometry includes knowledge of angles, lines, triangles, quadrilaterals, circles and polygons.