Single Transformation

Reflection:1. Reflection in X-axis:                                     P(x, y)→P'(-x, y)2. Reflection in Y-axis:                                     P(x, y)→P'(-x, y)3. Reflection in the lin...

Trigonometry:Review

The area of mathematics relating to the study of trigonometric function in relation to measurement in triangles is known as trigonometry.Note:Hypotenuse is the longest side and always in front of t...

Arithmetic Series

Arithmetic Progression: The sequence whose common difference between the two successive terms are same is called arithmetic sequence.For example: 3,7,11,15Let a be the 1st term of the sequence. The...

Function

Function: The relation defined from set A to Set B such that every element of set A associates with unique element of set B is called a function from set A to set B that can be denoted as f :A→B.Do...

Combined Transformation

Check the notes of single transformation before going through this note!!When an object is transformed under two successive transformations i.e., the initial image is re-transformed to obtain final...

Introduction to Sequence and Series

Sequence: The set of numbers arranged in definite pattern is called sequence.Example: 2,4,6,8,10,12……Series: If the set of numbers arranged in definite pattern are connected either by plus or minus...

Circle

1. When the center of circle is origin.→x2+y2 = r22. When the center of circle is (h, k).→(x-h)2+(y-k)2 = r2 ..................(i)3. When the circle touches x-axis.If the circle touches x-axis then...

Geometric Series

Introduction to Sequence and SeriesArithmetic seriesSome of the step in the note below are skipped so check the notes above as reference for easeGeometric Sequence:→The sequence whose common ratio ...

Equation of Circle in Diameter form

Let AB the diameter of the circle with center O where A(x1, y1) and B(x2, y2) are the end-points of the diameter. Let P be any point on the circumference of the circle. Then, AP and BP is joined su...