📘 Class 11 Mathematics – Lesson 6: Quadratic Equations
A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0, where a ≠ 0. In Lesson 6 of Class 11 Mathematics, students learn different methods to solve quadratic equations and analyze their nature using the discriminant.
This chapter helps you understand how to factorize, use formulas, and interpret roots. It’s an important chapter for NEB exam preparation and forms the base for many higher-level math topics.
🧠 Key Concepts Covered
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Standard form of a quadratic equation: ax² + bx + c = 0
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Methods of solving:
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Factorization method
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Completing the square
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Quadratic formula: x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 – 4ac}}{2a}
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Discriminant (Δ = b² – 4ac):
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Δ > 0 → Two real & distinct roots
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Δ = 0 → Two real & equal roots
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Δ < 0 → No real roots (imaginary roots)
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Nature of roots and relationship between roots
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Word problems and applications
📚 Why This Lesson Is Important
Quadratic equations appear in physics, engineering, economics, and daily-life problem solving. This lesson teaches you how to find solutions and interpret the meaning of the roots.
It’s also a scoring topic in NEB Board exams, and mastering all three solving methods ensures you’re ready for any question format.
📥 View the PDF Notes
You have access to complete Class 11 Mathematics Chapter 6 notes with formulas, step-by-step examples, and NEB-style problems.
💡 Exam Tip
Always check the discriminant first to know what type of roots the equation has. It helps you choose the best solving method during exams.
