Binomial Theorem for Rational Index 1) If m is rational number and x is real such that |x| < 1 then . . 2) m = p/q [q ≠ 0] then p/q ϵ R+ excepting integers , , for r ≥ 1. 3) . 4) . Share Tweet View Email Print Follow
Resolution of Vectors and Rectangular Components The process of a splitting a vector is called resolution of a vector. In simpler language it would mean, determining the effect of a vector in a particular direction. The parts of the vector obtained after splitting the vector are known as Components of the Vector. Rectangular components of Read more about Resolution of Vectors and Rectangular Components[…]
Partial Fractions – II Rule – I: Let be a proper fraction. To each non-repeated factor (ax +b) of g(x) there will be a partial fraction of the form where A is a zero-real number, to be determined. Rule – II: Let be a proper fraction. To each factor (ax + b)ⁿ, a ≠ 0 Read more about Partial Fractions – II[…]
Elastic Collision and Inelastic Collision The abrupt change in path of a moving body or bodies due to its interaction with other body or bodies are called as Collision. The magnitude and direction of the velocity of the colliding bodies may change in a collision. The force involved in collision acts only for a very Read more about Elastic Collision and Inelastic Collision[…]
Partial Fractions If f(x) and g(x) are two polynomials, then defines a rational algebraic function or a rational function of x. If degree of f(x) < degree of g(x), then is called an proper rational function. If degree of f(x) ≥ degree of g(x) then is called an improper rational function. If is an improver Read more about Partial Fractions[…]
Joint Equation of A Pair of Straight Lines The joint equation of the straight lines a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 is (a₁x + b₁y + c₁) (a₂x + b₂y + c₂) = 0 a₁a₂x² + xy (a₁b₂ + a₂b₁) + b₁b₂y² + (a₁c₂ + a₂c₁) Read more about Joint Equation of A Pair of Straight Lines[…]
Accuracy, Precision and Error Measurement Why do we need measurement? Measurement is the foundation for all experimental science and technology. Science is the study of nature and we need to use what we see in nature in our calculations. Today we know that the acceleration due to gravity is 9.8 m/s2 but would we be able Read more about Accuracy, Precision and Error Measurement[…]
Dates of Kerala Engineering Entrance Examination Announced The Entrance Examination for admission to Engineering courses in Kerala, for the year 2018-19 will be conducted as per the following schedule: Dates and Time of Engineering Entrance Examination Subject Date Time (IST) Paper I Physics & Chemistry 23.04.2018 (Monday) 10 AM – 12.30 PM Paper II Mathematics 24.04.2018 (Tuesday) Read more about Dates of Kerala Engineering Entrance Examination Announced[…]
General Equation of Second Degree The necessary and sufficient condition for ax² + 2hxy + by² + 2gx + 2fy + c = 0 to represent a pair of straight lines is that abc + 2fgh – af² – bg² – ch² = 0 or . Equation of the Bisectors: The equations of the bisectors Read more about General Equation of Second Degree[…]
Hindustan Institute of Technology and Science Engineering Entrance Examination (HITSEEE) 2018 Notification Released What is HITS? Hindustan Institute of Technology & Science (Christian Minority Institution), a leading private Deemed University in Chennai completed 32 years of dedicated service to the nation. HITS offers 33 U.G and 14 P.G programmes in Engineering, Technology, Management and Architecture Read more about Hindustan Institute of Technology and Science Engineering Entrance Examination (HITSEEE) 2018 Notification Released[…]