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Important Questions

Quadratic Equations

ICSE · Class 11 · Mathematics

Most important questions from Quadratic Equations for ICSE Class 11 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

104 questions25 flashcards5 concepts

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An infographic explaining how the discriminant (D = b²-4ac) determines the nature of roots for a quadratic equation ax²+bx+c=0 with real coefficients, including graphical interpretations.
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104 Questions·
multiple choicetrue false

Sample Questions

1multiple choice

The roots of x²−5x+6=0 are:

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2 and 3

x²−5x+6=0. D=25−24=1. x=(5±1)/2 → x=3 or x=2. Verify: 2×3=6 ✓ and 2+3=5 ✓.

2multiple choice

For the equation 9x²−12x+4=0, the discriminant is:

3true false

True or False: A quadratic equation with D<0 has no roots at all.

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False

False. D<0 means no REAL roots, but the equation still has exactly 2 complex (imaginary) roots. A quadratic always has 2 roots in ℂ.

4multiple choice

The equal root of 9x²−12x+4=0 is:

Show answer

2/3

D=0, so equal root = −b/2a = −(−12)/(2×9) = 12/18 = 2/3.

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Frequently Asked Questions

What are the important topics in Quadratic Equations for ICSE Class 11 Mathematics?
Key topics in Quadratic Equations include Quadratic Equations Concept Map, Quadratic Equations Complete Overview, Quadratic Equations Overview. These are the concepts ICSE Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Quadratic Equations — ICSE Class 11 Mathematics?
Understand the core concepts first, then work through the 104 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Quadratic Equations?
There are 104 practice questions available for Quadratic Equations. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

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

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