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A different approach to solve objective type questions
Calculus
Differential Calculus
01. Functions
01. Introduction to functions
02. Intervals and notations
03. Domain , co-domain and range
04. Even Function
05. Odd Function
06. Properties of even and odd function
07. Periodic Function
08. Properties of a periodic function
quadratic equation
01. Introduction and Solution
02. Different methods of solving a quadratic equation
2.1 Factoring
2.2 Square root method
2.3 Completing the square
2.4 Using the quadratic formula
2.5 Using the graph of quadratic polynomial
03. Analysis of the types of solution of a quadratic equation
04. quadratic expression/ polynomial
05. graph of quadratic expression/ polynomial
06. sum and product of the roots of a quadratic equation
07. forming equation from the roots
08. condition for common root/s
condition for both roots common
09. conjugate roots
10. irrational roots
11. symmetric functions of roots
12. Relation between roots and coefficients of any polynomial equation
13. Position of roots of a quadratic equation
14. Transformation of equations
15. some important results
16. solved problems on quadratic equations asked in IIT JEE and other entrance examinations
16.01 problems based on nature of roots of a quadratic equation
16.02 Problems based on finding the value of symmetric function of roots
16.03 Problems based on finding relation in coefficients of a quadratic equation by using the relation between roots
16.04 Problems based on formation of quadratic equation whose roots are given
16.05 Problems based on common roots
16.06 Problems based on cubic equation
16.07 Problems based on identities
16.08 Problems based on properties of continuous functions
16.09 Solutions of equation reducible to quadratic equation
16.10 Problems based on sign scheme of a quadratic expression
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16. solved problems on quadratic equations asked in IIT JEE and other entrance examinations
IN THIS CHAPTER:
01. Introduction and Solution
02. Different methods of solving a quadratic equation
2.1 Factoring
2.2 Square root method
2.3 Completing the square
2.4 Using the quadratic formula
2.5 Using the graph of quadratic polynomial
03. Analysis of the types of solution of a quadratic equation
04. quadratic expression/ polynomial
05. graph of quadratic expression/ polynomial
06. sum and product of the roots of a quadratic equation
07. forming equation from the roots
08. condition for common root/s
condition for both roots common
09. conjugate roots
10. irrational roots
11. symmetric functions of roots
12. Relation between roots and coefficients of any polynomial equation
13. Position of roots of a quadratic equation
14. Transformation of equations
15. some important results
16. solved problems on quadratic equations asked in IIT JEE and other entrance examinations
16.01 problems based on nature of roots of a quadratic equation
16.02 Problems based on finding the value of symmetric function of roots
16.03 Problems based on finding relation in coefficients of a quadratic equation by using the relation between roots
16.04 Problems based on formation of quadratic equation whose roots are given
16.05 Problems based on common roots
16.06 Problems based on cubic equation
16.07 Problems based on identities
16.08 Problems based on properties of continuous functions
16.09 Solutions of equation reducible to quadratic equation
16.10 Problems based on sign scheme of a quadratic expression
1.
Problems based on nature of roots of a quadratic equation
2.
Problems based on finding the value of symmetric function of roots
3.
Problems based on finding relation in coefficients of a quadratic equation by using the relation between roots
4.
Problems based on formation of quadratic equation whose roots are given
5.
Problems based on common roots
6.
Problems based on cubic equation
7.
Problems based on identities
8.
Problems based on properties of continuous functions
9.
Solutions of equation reducible to quadratic equation
10.
Problems based on sign scheme of a quadratic expression
Subpages
(10):
16.01 problems based on nature of roots of a quadratic equation
16.02 Problems based on finding the value of symmetric function of roots
16.03 Problems based on finding relation in coefficients of a quadratic equation by using the relation between roots
16.04 Problems based on formation of quadratic equation whose roots are given
16.05 Problems based on common roots
16.06 Problems based on cubic equation
16.07 Problems based on identities
16.08 Problems based on properties of continuous functions
16.09 Solutions of equation reducible to quadratic equation
16.10 Problems based on sign scheme of a quadratic expression
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