Class 10 Maths Chapter 2 Notes

Important full class 10 maths chapter 2 notes in Mathematics Urdu Medium by Mr. Tasneem Haider. These computerized notes are very helpful in the preparation of class 10 maths chapter 2 notes for students of the Mathematics and these are according to the paper patterns of all Punjab boards.

• Important class 10 maths chapter 2 notes pdf for all students of Punjab  Textbook Board.
• Define discriminant ( b² - 4ac ) of the quadratic expression ax² + bx + c.
• Find discriminant of a given quadratic equation.
• Important class 10 maths chapter 2 notes pdf download for all students of Punjab  Textbook Board.
• Discuss the nature of roots of a quadratic equation through discriminant.
• Determine the nature of roots of a given quadratic equation and verify the result by solving the equation.
• Important class 10 maths notes chapter 2 for all students of Punjab  Textbook Board.
• Determine the value of an unknown involved in a given quadratic equation when the nature of its roots is given.
• Find cube roots of unity.
• Recognize complex cube roots of unity as ω and ω²?
• Important class 10 notes maths chapter 2 for all students of Punjab  Textbook Board.
• Prove the properties of cube roots of unity.
• Use properties of cube roots of unity to solve appropriate problems.
• Find the relation between the roots and the coefficients of a quadratic equation.
• Important class 10th chapter 2 maths notes for all students of Punjab  Textbook Board.
• Find the sum and product of roots of a given quadratic equation without solving it.
• Find the value(s) of unknown(s) involved in a given quadratic equation when 
• (i)  find the value(s) of unknown(s) involved in a given quadratic equation when, 
• Important class 10th maths chapter 2 notes for all students of Punjab  Textbook Board.
• (ii) sum of the squares of roots is equal to a given number,  (iii) roots differ by a given number,  (iv) roots satisfy a given relation (e.g., the relation 2α + 5β = 7 where α and β are the roots of given equation), 
• Important math class 10 chapter 2 notes for all students of Punjab  Textbook Board.
• (v) both sum and product of roots are equal to a given number.
• Define symmetric functions of roots of a quadratic equation.
• Evaluate a symmetric function of the roots of a quadratic equation in terms of its coefficients.
• Important maths class 10 notes chapter 2 for all students of Punjab  Textbook Board.
• Establish the formula, x² - (sum of roots)x + (product of roots) = 0, to find a quadratic equation from the given roots.
• Important maths notes class 10 chapter 2 for all students of Punjab  Textbook Board.
• Form the quadratic equation whose roots, for example, are of the type: (i) 2α + 1, 2β + 1, (ii) α², β²,  (iii) 1 / α , 1 / β  (iv)  α / β , β / α  (v)  α + β, 1 / α + 1 / β  where α, β are the roots of a given quadratic equation.
• Important notes class 10 maths chapter 2 for all students of Punjab  Textbook Board.
• Describe the method of synthetic division.
• Use synthetic division to:  (i) find quotient and remainder when a given polynomial is divided by a linear polynomial,  
• Important notes for class 10 maths chapter 2 for all students of Punjab  Textbook Board.
• (ii) find the value(s) of unknown(s) if the zeros of a polynomial are given,  (iii) find the value(s) of unknown(s) if the factors of a polynomial are given,  
• Important notes of class 10 maths chapter 2 for all students of Punjab  Textbook Board.
• (iv) solve a cubic equation if one root of the equation is given,  (v) solve a biquadratic (quartic) equation if two of the real roots of the equation are given.
• Important notes of maths class 10 chapter 2 for all students of Punjab  Textbook Board.
• solve a system of two equations in two variables when  (i) one equation is linear and the other is quadratic,  (ii) both the equations are quadratic.
• Important 10th class math chapter 2 notes for all students of Punjab  Textbook Board.