Quadratic Equations — Important Questions
ICSE · Class 10 · Mathematics
38 important questions from Quadratic Equations for ICSE Class 10 Mathematics, with answers. Includes multiple choice and multiple correct questions.
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 important questions and more.
Free trial, no card needed.
One of 4 illustrations for Quadratic Equations in Super Tutor — alongside flashcards, concept maps and practice questions.
Important Questions from Quadratic Equations
Which of the following equations has no real roots?
Show answer
x² + 2x + 5 = 0
For x² + 2x + 5 = 0, D = 4 - 20 = -16 < 0, so no real roots. Other options have D ≥ 0.
The quadratic equation x² - 8x + k = 0 has equal roots. Find k.
Show answer
16
For equal roots, D = 0. Here D = 64 - 4k = 0, so 4k = 64, giving k = 16.
Solve (x - 2)(x + 3) = 0.
Show answer
x = 2, -3
Using zero product rule: if (x - 2)(x + 3) = 0, then x - 2 = 0 or x + 3 = 0. So x = 2 or x = -3.
Which of the following methods can be used to solve quadratic equations? (Select all correct)
Show answer
Factorization, Quadratic formula, Completing the square, Graphical method
Factorization, quadratic formula, completing the square, and graphical methods are all valid for solving quadratics. Linear substitution is not a standard method for quadratics.
+34 more questions on Quadratic Equations (ICSE Class 10 Mathematics)
Practise AllFrequently Asked Questions
What are the important topics in Quadratic Equations for ICSE Class 10 Mathematics?
How many important questions are there in Quadratic Equations?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Quadratic Equations
Practice Quiz
Test yourself with a quick quiz
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Study Plan
Step-by-step plan for this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
For serious students
Get the full Quadratic Equations chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 10 Mathematics. Free to start, no card needed.