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# Equations And Inequations

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Delhi

Course ID: 4481

Delhi

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1.these are of many types but we are concerned with quadratic and cubic mainly.
2.for :ax^2 +bx+c=0,to solve these questions some points to remember:
a)the given eqn has MAX 2 distinct roots(real or imaginary)depending upon D.
b)find D(discriminant) ie D=b^2-4ac
NOW if D=0 both roots are real and equal
if D>0 both roots are real but distinct
if D<0 then both roots are imaginary(NOTE:Imaginary roots are in conjugate form if if one root is 2+3i,then other must be 2-3i)
NOW if inequation is given in the form of ax^2+bx+c> OR<0 then how can WE SOLVE
soln: 1.Make the sign of "a" POSITIVE in above equation(if already a is positive then it's ok ELSE multiply the above equation by -1 and change the inequality sign as well)
NOTE:in 99 % of inequality questions we can always make the factors of the inequation and put in the form of (x-X)(x-Y)>or<0 AS THE CASE MAY BE.(suppose XNOW draw the number line and mark X and Y on them.In this way the no. line is divided into three parts ie :
(-infinity,X ), (X,Y), (Y,+infinity)
putting the signs alternatively from the right side,starting from POSITIVE..then negative ..then positive.
if (x-X))x-Y)>0 it means our answer lies in POSITIVE sections of the no. line ie
x belongs to(-infinity,X) UNION (Y,infinity)

if (x-X)(x-Y)<0 then answer is x belongs to(X,Y)
NOW we will know about the bature of parabola opening upwards or downwards and find MAX or MIN value thereof.

## Topics Covered

Equations And Inequations
Nature Of Roots
Graphical Representation
Max And Min Value Of The Equation
In All The IIT And AIEEE 2 To 3 Questions Completed Thoroughly

## Who should attend

All Those Students Who Want To Prepare For Engineering Entrances Such As IIT And AIEEE And Others

## Pre-requisites

NOTHING REQUIRED ..
everything is managed in the class.BT the sudent must be attentive during session/

## What you need to bring

nothing except a pen and notebook.

## Key Takeaways

1.Mathematical Formulation Of Any Equation And In equation
2.Max And Min Value Of Any Function.Etc

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RASHMEET SINGH

BE FROM DELHI COLLEGE OF ENGINEERING

4 Years of Experience

2 YEAR PLUS EXPERIENCE IN PREPARING STUDENTS FOR IIT JEE AND AIEEE

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## Discussions

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