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Quadratic and Other Equation — Revision Notes

CMAT · Quantitative Techniques & Data Interpretation

Free Quadratic and Other Equation revision notes for CMAT Quantitative Techniques & Data Interpretation 2026 — key concepts, formulas, and definitions for quick revision.

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Revision Notes — Quadratic and Other Equation

Key concepts, formulas, and definitions from Quadratic and Other Equation for CMAT Quantitative Techniques & Data Interpretation preparation.

Key Topics to Revise

1

Theory of Equations - Introduction

  • An equation is any expression in the form f(x) = 0
  • Type of equation depends on the expression f(x): linear, quadratic, cubic, or higher powers
  • Root or solution is the value of x that makes LHS equal to RHS
2

Quadratic Equations - Core Theory

  • Standard form: ax² + bx + c = 0 where a ≠ 0
  • Discriminant D = b² - 4ac determines nature of roots
  • If D < 0: no real roots (imaginary roots)
3

Sign of Quadratic Expression

  • Sign depends on coefficient 'a' and discriminant D
  • When a > 0 and D < 0: f(x) > 0 for all x (always positive)
  • When a > 0 and D = 0: f(x) ≥ 0 for all x (touches x-axis once)
4

Cubic Equations

  • Standard form: ax³ + bx² + cx + d = 0 where a ≠ 0
  • Always has exactly three roots (real or complex)
  • At least one root is always real

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Key Concepts

Equations of the form f(x) =Equations of the form ax² +The discriminant D = b²For quadratic equation ax² + bxThe sign of a quadratic expression

Frequently Asked Questions

What topics are covered in Quadratic and Other Equation for CMAT?
Quadratic and Other Equation is an important chapter in CMAT Quantitative Techniques & Data Interpretation. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Theory of Equations - Introduction, Quadratic Equations - Core Theory, Sign of Quadratic Expression, Cubic Equations.
How important is Quadratic and Other Equation for CMAT?
Quadratic and Other Equation is a frequently tested chapter in CMAT Quantitative Techniques & Data Interpretation. Questions from this chapter appear regularly in previous year papers. There are 71 practice questions available for this chapter.
How to prepare Quadratic and Other Equation for CMAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

More resources for Quadratic and Other Equation

All 19 chapters — CMAT Quantitative Techniques & Data Interpretation Revision Notes

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