Order of mathematical Operations The four basic operation in mathematics, as everyone knows, are addition, subtraction, multiplication and division. These basic operations are used in algebra with numbers or letters or combination of both. A number multiplied by a variable, a number or variable is called a term. An expression is combination of such terms. Example: In […]
Read More →Theorem The perpendicular from the center of a circle to a chord bisects the chord. Given: A circle with center O, AB is chord of a circle and OC perpendicular from the center to the chord AB. i.e. OC ⊥ AB therefore ∠OCA and ∠OCB Both angles are 900. To prove: AC = CB (C is the mid point of chord AB) […]
Read More →Representation of sets There are three methods of representing a set. 1. Statement form method 2. Roster or tabular form method 3. Rule or Set builder form method Statement form method In this method well defined description of the […]
Read More →Law of cosines or Cos law The law of cosines or Cos law is one of the trigonometric laws which is useful for solving the angles or sides of a triangle. For example, if all three sides of a triangle (SSS) are given, the cosine rule allows one to easily find any of the […]
Read More →Law of sines or Sine law The law of sines or Sine law is one of the trigonometric laws which is useful for solving the angles or sides of a triangle. In trigonometry, the law of Sines says that in any given triangle, the ratio of any side length to the sine of its opposite […]
Read More →Divisibility Rules For 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 and 14 Divisibility Rules – Number Divisible by 1 When we divide number 1, to another number, then we get result is a Whole number. In other words we can say that any number divided by 1 we get […]
Read More →Divisibility Rules For 1 When we divide one number 1, to another then we get result is a Whole number. In other words we can say that any number divided by 1 we get the number itself. Example: 12 is divisible by 1, the result is 12. 304 […]
Read More →AAS Congruence Rule Angle-Angle-Side Two triangles are congruent, if two pairs of corresponding angles and one pair of opposite sides are equal in both triangles. In above figure there are two triangles, △CAB and △PQR △CAB and △PQR has two pairs of corresponding angles ∠A = ∠R, ∠C = ∠P and one pair of opposite sides side CB = side PQ. […]
Read More →If the diagonals of a Quadrilateral, bisect each other then that Quadrilateral is a Parallelogram Given: ABCD is a quadrilateral with AC and BD are diagonals and diagonals intersect each other at O. i.e. OA = OC and OB = OD To Prove: ABCD is a parallelogram. Proof: In △AOD and △COB […]
Read More →