Skip to main content
Super TutorResources
Chapter 4 of 16
Syllabus

Quadratic Equations — Syllabus

Jammu & Kashmir Board · Class 10 · Mathematics

What Quadratic Equations covers in Jammu & Kashmir Board Class 10 Mathematics: 4 topics, for the 2026-27 session.

151 questions50 flashcards14 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Quadratic Equations? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for syllabus and more.

Try Super Tutor — Free

Free trial, no card needed.

An illustration showing a real-world scenario (like building a prayer hall) that naturally leads to a quadratic equation, with dimensions labeled.
Super Tutor

One of 5 illustrations for Quadratic Equations in Super Tutor — alongside flashcards, concept maps and practice questions.

4 Topics · Jammu & Kashmir Board Class 10 Mathematics · 2026-27

Topics in Quadratic Equations

1

1. Meaning and Standard Form

  • A quadratic polynomial equated to zero gives a quadratic equation.
  • The standard form is ax^2 + bx + c = 0, with a ≠ 0.
  • Any equation of degree 2 written in descending order can be written in this standard form.
2

2. Formation of Quadratic Equations from Situations

  • Many word problems become quadratic equations after forming expressions for length, breadth, age, number of items, or cost.
  • John's marbles problem leads to x^2 - 45x + 324 = 0.
  • The toys production problem leads to x^2 - 55x + 750 = 0.
3

3. Checking Whether an Equation is Quadratic

  • Simplify fully before deciding whether an equation is quadratic.
  • Some equations look quadratic but become linear after simplification.
  • Some equations look cubic but simplify to quadratic form.
4

4. Finding Roots by Factorisation

  • Factorisation is a direct method for solving many quadratic equations.
  • Split the middle term and write the quadratic as a product of two linear factors.
  • If a product is zero, at least one factor must be zero.

Key Concepts

Central concept: Quadratic Equations

Introduction and meaningHistorical developmentChecking whether an equation is quadraticRoots and zeroesFactorisation methodQuadratic formulaDiscriminant and nature of rootsApplications in geometry and word problems

Work through every topic in Quadratic Equations with notes and quizzes

Start This Chapter

Frequently Asked Questions

What are the important topics in Quadratic Equations for Jammu & Kashmir Board Class 10 Mathematics?
Key topics in Quadratic Equations include Meaning and Standard Form, Formation of Quadratic Equations from Situations, Checking Whether an Equation is Quadratic, Finding Roots by Factorisation. Study these first, then practise questions on each for the Jammu & Kashmir Board Class 10 board exam.
How should I revise Quadratic Equations for the Jammu & Kashmir Board Class 10 board exam?
Learn the core ideas first, then work through the 151 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.

More resources for Quadratic Equations

All Jammu & Kashmir Board Class 10 Mathematics Syllabus

For serious students

Get the full Quadratic Equations chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for Jammu & Kashmir Board Class 10 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free