maths
☼ Methods to solve Quadratic Equation : There are three different methods to solve the quadratic equation.
(i) Method of Factorization
e.g. Solve : 4 x2 – …
☼ Types of roots of a Quadratic Equation : There are four different types of roots associated with a Quadratic Equation.
(i) Rational and Distinct
e.g. Solve : 3 x2 +…
(11) A father is now five times as old as his son. Five years ago, he was nine times as old as his son. Find their present ages.
Soln. Let age of the father = x and that of the son = y
We are given that, x = 5y …
☼ Dependent Equation ( Parallel Lines ) : The equation of the type ax + by = c and kax + kby = kc are known as dependent equations ( or parallel lines ).
Short method to solve the pair of linear equations…
☼ System of Linear Equations :
▪ Consistent System : A system consisting of two simultaneous linear equations is said to be consistent, if it has at least one solution.
▪