Quadratic Equations
CBSE · Class 10 · Mathematics
Quick revision notes for Quadratic Equations — CBSE Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Definition and Standard Form
- A quadratic equation is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers and a ≠ 0
- The term 'quadratic' comes from the Latin word 'quadratus' meaning square
- If a = 0, the equation becomes linear, not quadratic
Methods of Solving Quadratic Equations
- Three main methods: Factorization, Completing the square, Quadratic formula
- Factorization works when the quadratic can be expressed as product of linear factors
- If ax² + bx + c = (px + q)(rx + s), then roots are x = -q/p and x = -s/r
Nature of Roots and Discriminant
- Discriminant Δ = b² - 4ac determines the nature of roots
- If Δ > 0: Two distinct real roots
- If Δ = 0: Two equal real roots (repeated root)
Real-Life Applications
- Area problems often lead to quadratic equations
- Motion problems involving distance, speed, and time
- Profit and loss problems in business mathematics
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Quadratic Equations covers several key topics that are frequently asked in CBSE Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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