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Quadratic Equations — Practice Quiz

ICSE · Class 11 · Mathematics

Try a 4-question quiz on Quadratic Equations for ICSE Class 11 Mathematics: tap an answer to check it and see why. 104 questions in the full chapter test.

104 questions25 flashcards24 formulas & key relations5 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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Quick Quiz: Quadratic Equations

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

What is the standard form of a quadratic equation?

2

How many roots does a quadratic equation always have?

3

The discriminant of ax²+bx+c=0 is defined as:

4

If D=0, the quadratic equation has:

104 Questions·
multiple choicetrue false

Sample Questions

1multiple choice

The roots of x²−5x+6=0 are:

Show answer

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.

Show answer

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.

+100 more questions on Quadratic Equations (ICSE Class 11 Mathematics)

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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 Basic Meaning and Standard Form, Discriminant and Nature of Roots, Graph of a Quadratic Function, Roots and Coefficients. Study these first, then practise questions on each for Class 11 exams.
How many practice questions are there for Quadratic Equations?
There are 104 questions on Quadratic Equations. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

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