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Important Formulas of Maths

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                        Key Points and Useful Formulas for Exams       Important Formulas For Board Exams                                                            Number system  Prime numbers - A prime number is defined as a number that has no factor other than 1 and itself. Co-prime numbers - co-primes are considered in pairs and two numbers are co-prime if they have no common factors other than 1. Twin prime numbers - Twin prime numbers are the prime numbers whose difference is always equal to 2. For example, the difference between 5 and 7 is 2, and hence 5 and 7 are twin prime numbers. Composite numbers -  All the natural numbers which are not prime numbers are composite numbers as they can be divided by more than two numbers.  HCF and LCM  About Fraction  ° HCF =       HCF of Numerators /LCM of Denominators  ° LCM =  LCM of Numerators / HCF of Denominators • Product of two Numbers = L.C.M. × H.C.F  Keys/ Formulas  (a + b) 2  = a 2  + 2ab + b 2 (a – b) 2   = a 2  – 2ab + b 2 (a

Quadrilaterals

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                       Quadrilaterals ° What is quadrilateral?      A plane, closed figure bounded by four line segments is called quadrilateral. There are different types of quadrilaterals, they are trapezium, parallelogram, rhombus, rectangle, square.  • What is the sum of all the interior angles of a quadrilateral?  The sum of all the interior angles of a quadrilateral is 360 degree.              Important Formulae                      Special quadrilaterals Parallelogram - A parallelogram is a quadrilateral with both pairs of opposite sides parallel.  Important points - Opposite sides of a parallelogram are equal Opposite angles of a parallelogram are equal The diagonals of a parallelogram bisect one another.  Each diagonal divides it into two congruent triangles.  The opposite sides and angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.  Rectangle - a parallelogram in which all four angles are right angles is a rectangle.  Important points -