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Chapter 3 of 13
Syllabus

Quadratic Equations — Syllabus

Maharashtra Board · Class 10 · Mathematics

What Quadratic Equations covers in Maharashtra Board Class 10 Mathematics: 4 topics, for the 2026-27 session. Topics include Quadratic Equation: Basic.

30 questions25 flashcards14 formulas & key relations5 concepts

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4 Topics · Maharashtra Board Class 10 Mathematics · 2026-27

Topics in Quadratic Equations

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1. Quadratic Equation: Basic Idea and Standard Form

  • A quadratic equation is an equation involving one variable with highest power 2.
  • The general form is ax^2 + bx + c = 0.
  • Here, a, b, and c are real numbers and a ≠ 0.
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2. Roots of a Quadratic Equation and Factorisation Method

  • If p(a) = 0 for a polynomial p(x), then (x - a) is a factor of p(x) and a is a root or solution of p(x) = 0.
  • The method of finding linear factors first to solve a quadratic equation is called the factorisation method.
  • If product of two numbers is zero, then at least one of them is zero.
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3. Completing the Square Method

  • This method is useful when factorisation is not easy.
  • Add a suitable term so that the expression becomes a perfect square.
  • For x^2 + 10x + 2 = 0, complete the square by writing x^2 + 10x + 25 - 25 + 2 = 0.
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4. Quadratic Formula and Discriminant

  • The quadratic formula gives roots directly for ax^2 + bx + c = 0.
  • The roots are written as α and β.
  • The formula is X = (-b ± √(b^2 - 4ac)) / 2a.

Key Concepts

Central concept: Quadratic Equations

Introduction and meaningStandard formRoots and solutionsMethods of solvingNature of rootsRelation between roots and coefficientsEquivalent quadratic equationsApplications

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Frequently Asked Questions

What are the important topics in Quadratic Equations for Maharashtra Board Class 10 Mathematics?
Key topics in Quadratic Equations include Quadratic Equation: Basic Idea and Standard Form, Roots of a Quadratic Equation and Factorisation Method, Completing the Square Method, Quadratic Formula and Discriminant. Study these first, then practise questions on each for the Maharashtra Board Class 10 board exam.
How should I revise Quadratic Equations for the Maharashtra Board Class 10 board exam?
Learn the core ideas first, then work through the 30 practice questions on Quadratic Equations. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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