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Quadratic Equations for IIT JEE Mathematics
4 students

Quadratic Equations for IIT JEE Mathematics

Quadratic Equations, Cubic Equations, Discriminant, Nature of roots , Exponential equations, equations, cbse class 11
Created byJaswinder Kaur
Last updated 12/2025
English

What you'll learn

  • Nature of the roots of quadratic equations
  • Nature of the discriminant of the quadratic equation
  • Solving the Exponential equations, logarithmic equations, Absolute equations.
  • All assignments covering complete theory of equations for competitive exams, IIT JEE mathematics exam, Other entrrance exam papers.

Explore related topics

Course content

6 sections • 66 lectures • 6h 33m total length

  • Introduction12:05
  • For the given Quadratic Equation find the least value of 'a'.3:15
  • The distinct non zero real no.s with given condition are in G.P.4:36
  • Find a for which roots of given equation possesses opposite sign lies in (1,2)3:47
  • If a+b+c= 0 then 3ax²+2bx+c = 0 has its atleast one root.5:39
  • If ax+by = 1, cx²+dy² = 1 then x = a/c & y = b/d6:22
  • For a given condition if f(x) >0 then g(x) has non real roots10:37
  • If x is real and (x²-x+1)/(x²+x+1) then 1/3 <= k <= 33:29
  • For a real x, the expression (x-a)(x-b)/(x-c) will assume all real values6:48
  • The sum of the roots of quadratic eqn. is equal to their reciprocals.4:41
  • If a,b,c are in G.P. & given eqns. have common root then d/a, e/b, f/c in A.P.5:20
  • If a,b,c are positive then find the nature of the roots of ax²+bx+c = 02:56

Requirements

  • Factorization of an equation, basic concepts of factorizing the equation, quadratic equations

Description

This new 6hr 34min Course 'THEORY OF EQUATIONS' has more than 60 contents covering all important and expected Competitive Exam questions, with all Basic concepts in Details.

In Algebra, the study of algebraic equations, which are equations defined by a polynomial, is called the Theory of Equations. A polynomial is an expression consisting of one or more terms. The main difficulty of the theory of equations was to know when an algebraic equation has an algebraic solution. In this Course, we will learn about the theory of equations and examples of solving equations.


The Course contents are based on_

The Introduction to the Quadratic Equations with detail explanation.

The definition of Quadratic Equation.

The nature of the roots of the quadratic equation.

The nature of the discriminant of the quadratic equation.

How to get the roots of the Quadratic Equation and Cubic Equation

How to get the quadratic equation if the roots are given.

How to get the quadratic equation if condition of the roots of equation are given.

Solving the Real roots of the Quadratic Equation

Sum of the Roots and Product of the Roots.

How to solve the exponential equations

How to solve the Logarithmic equation

How to solve the Absolute value equation

Nature of the function and constants for a  quadratic polynomial

How discriminant changes with the positive or negative quadratic polynomial

The roots of cubic equation

Questions of Theory of Equations in the form of

1)Fill in the blanks,

2) True or false,

3) Multiple choice questions.

Solving many kinds of equations with Important results and Assignments and Important remarks that are very helpful for competitive exam of mathematics and other entrance exams.








Who this course is for:

  • For Competitive Mathematics Exam for the educators who want to teach their students the based curriculum

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