Toppers Notes on The Quadratic Equation

Below you will get an embedded PDF file of the topic “toppers notes on The Quadratic Equation for jee main & Advanced”, where you have the facility to read, download, or print the document at your convenience. You can take the help of these short notes for the preparation of All India engineering examinations like JEE Main & JEE Advanced. In fact, these notes are helpful to crack any entrance exam in which the mathematics up to 12th class is asked. 

Table of Content

  • Definition of Quadratic equation.
  • The discriminant of the quadratic equation.
  • Roots of a quadratic equation.
  • The nature of the roots of the quadratic equation.
  • Graph of the quadratic expression.
  • Greatest and the least value of a quadratic expression.
  • Sign of the quadratic expression.
  • Position of roots of a quadratic equation.
  • Conditions for a quadratic equation have a repeated root.
  • Condition for the two quadratic equations has a common root.
  • Condition for a quadratic equation has both roots in common.
  • Higher degree equations.
  • Cubic equation.
  • Biquadratic equations.
  • Transformations of equations.
  • Descartes rules of the sign for the roots of a polynomial.
  • Results on the roots of an equation.
  • The condition that a general equation of the two-degree equation can be resolved into two linear factors.
  • Rational algebraic expressions.
  • Wavy curve method to solve an inequality.
  • Equations that can be reduced into a quadratic equation.
  • Using continuity and differentiability to find the roots of an equation.