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Quadratic Equations Questions

Practice 23 Quadratic Equations questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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23
Total Questions
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2
Easy
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21
Medium
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0
Hard
Practice by Exam:Mathematics(19)Quantitative Aptitude(4)

About Quadratic Equations — practice questions, PYQs & concepts

Quadratic Equations is a frequently-tested topic on Mathematics, Quantitative Aptitude. ExamTest.live currently lists 23 Quadratic Equations questions spanning previous-year papers from 2004 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Quadratic Equations weight in competitive exams

Across our Quadratic Equations question bank, the largest sources are Mathematics (19) and Quantitative Aptitude (4). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 2 easy Quadratic Equations questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Quadratic Equations Questions(1–23 of 23)

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Q1mediummcqMathematicsAIEEE 20062026
0% accuracy
All the values of for which both roots of the equation are greater than but less than , lie in the interval:
Q2mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The sum of two numbers is . If the sum of their reciprocals is , then find the two numbers?
Q3mediummcqQuantitative AptitudePrepp2026
0% accuracy
What will be the possible value of that satisfies the given equation?
Q4mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If are the roots of the equation , then the value of the determinant is:
Q5mediummcqMathematicsMathematics Mock Test - 42026
0% accuracy
What is the probability that the roots of the equation are real, where and ?
Q6mediummcqMathematicsAIEEE 20072026
0% accuracy
If the difference between the roots of the equation is less than , then the set of possible values of is:
Q7mediummcqMathematicsAIEEE 20062026
0% accuracy
If the roots of the quadratic equation are and , respectively, then the value of is:
Q8mediummcqMathematicsAIEEE-CBSE-ENG-032026
The value of ' ' for which one root of the quadratic equation is twice as large as the other, is:
Q9mediummcqMathematicsAIEEE2026
In a triangle , . If and are the roots of , then:
Q10mediummcqMathematicsAIEEE-CBSE-ENG-032026
The number of real solutions of the equation is:
Q11mediummcqMathematicsAIEEE2026
The quadratic equations and have one root in common. The other roots of the first and second equations are integers in the ratio . Then the common root is:
Q12mediummcqMathematicsAIEEE 20092026
If the roots of the equation be imaginary, then for all real values of , the expression is:
Q13easymcqMathematicsAIEEE2026
If and are the roots of the equation , then
Q14mediummcqMathematicsJEE Main2026
If the equations and , , have a common root, then is:
Q15mediummcqMathematicsAIEEE-CBSE-ENG-032026
If the sum of the roots of the quadratic equation is equal to the sum of the squares of their reciprocals, then , and are in:
Q16mediummcqMathematicsAIEEE2026
If both the roots of the quadratic equation are less than , then lies in the interval:
Q17mediummcqQuantitative AptitudeCompetitive Exam2026
If 3sec
4
θ+8=10sec
2
θ, then the value of tanθ can be:
Q18mediummcqQuantitative AptitudePrepp2026
The possible value of satisfying the equation is:
Q19mediummcqMathematicsAIEEE2026
If roots of the equation are two consecutive integers, then equals:
Q20mediummcqMathematicsAIEEE2026
The value of for which the sum of the squares of the roots of the equation assumes the least value is:
Q21mediummcqMathematicsAIEEE 20042004
0% accuracy
If is a root of quadratic equation then its roots are
Q22mediummcqMathematicsAIEEE 20042004
0% accuracy
If one root of the equation is while the equation has equal roots, then the value of 'q' is
Q23easymcqMathematicsAIEEE 20042004
0% accuracy
Let two numbers have arithmetic mean and geometric mean Then these numbers are the roots of the quadratic equation

Frequently Asked Questions

How many Quadratic Equations questions are on ExamTest.live?▼
We have 23 Quadratic Equations questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Quadratic Equations MCQs free?▼
Yes. All Quadratic Equations questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Quadratic Equations questions?▼
Quadratic Equations questions are commonly asked in Mathematics, Quantitative Aptitude. You can filter by exam using the links above.
How do I practice Quadratic Equations questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.