Mathematics Class 10
Class 10 Math Notes (Punjab Board)
Chapters 1 to 3
Prepared by: Areeba
✨Chapter 1: Quadratic Equations
Quadratic equation ek aisi algebraic equation hoti hai jisme variable ka highest power 2 hota hai.
General Form:
ax² + bx + c = 0
(yahan a ≠ 0)
�Important Terms:
1. Coefficient ()معامل:
Jo number variable ke sath hota hai.
2. Constant Term ()ثابت عدد:
Jo number akela hota hai, variable ke bina.
�Methods to Solve Quadratic Equations:
1. Factorization Method
2. Completing the Square
3. Quadratic Formula
�Quadratic Formula:
x = (-b ± √(b² - 4ac)) / 2a
�Nature of Roots (Roots ka kirdar):
If D = b² - 4ac > 0 → Real & distinct roots
If D = b² - 4ac = 0 → Real & equal roots
If D < 0 → Complex roots
Class 10 Math Notes (Punjab Board)
Chapters 1 to 3
Prepared by: Areeba
✨Chapter 1: Quadratic Equations
Quadratic equation ek aisi algebraic equation hoti hai jisme variable ka highest power 2 hota hai.
General Form:
ax² + bx + c = 0
(yahan a ≠ 0)
�Important Terms:
1. Coefficient ()معامل:
Jo number variable ke sath hota hai.
2. Constant Term ()ثابت عدد:
Jo number akela hota hai, variable ke bina.
�Methods to Solve Quadratic Equations:
1. Factorization Method
2. Completing the Square
3. Quadratic Formula
�Quadratic Formula:
x = (-b ± √(b² - 4ac)) / 2a
�Nature of Roots (Roots ka kirdar):
If D = b² - 4ac > 0 → Real & distinct roots
If D = b² - 4ac = 0 → Real & equal roots
If D < 0 → Complex roots
