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Mathematics - Quadratic Equation

Practise 65 WBJEE previous year questions on Quadratic Equation, compiled from papers spanning 2009 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty WBJEE tests.

Quadratic Equation has been asked in 18 of the 18 years of WBJEE papers analysed (2009–2026), with 65 questions in all. 31% of them were easy, 51% moderate and 18% tough. Most of its questions came from 2014, with 8 questions that year. In the last three years (2024–2026) it had 13 questions across 3 papers, about 4.3 per paper.

The chapter's 7 topics are not weighted equally: Relation between Roots and Coefficients (43 questions, 66%), Location of Roots (6 questions, 9%), and N degree equation (5 questions, 8%) have been asked the most. Relation between Roots and Coefficients has also led over the last five years, with 8 questions. Relation between Roots and Coefficients has produced the most tough questions (6).

  1. 1If are the roots of the equation and , then , where is2026Relation between Roots and Coefficients
  2. 2If 'a' is an integer lying in , then the probability that the graph of lies above the x-axis is2026Graph and Sign of Quadratic
  3. 3Let 1 lies between the roots of the equation and denotes the greatest integer function. Then the value of is2026Location of Roots
  4. 4The equation and have two roots in common. If the third root of each equation is represented by and respectively, the GCD of will be2026Common Roots
  5. 5If has real roots, then the value/values of is/are2026Condition for Real Roots
  6. 6For what value of ' ', the sum of the squares of the roots of the equation will have the least value?2025Relation between Roots and Coefficients
  7. 7If the sum of the squares of the roots of the equation is least for an appropriate value of the variable parameter , then the value of ' ' w2025Relation between Roots and Coefficients
  8. 8If and are two polynomials such that is divisible by , then2025Common Roots
  9. 9If are in A.P. and if the equations and have a common root, then2025Common Roots
  10. 10The equation has2024Relation between Roots and Coefficients
  11. 11If are distinct odd natural numbers, then the number of rational roots of the equation2024Relation between Roots and Coefficients
  12. 12If and where , then has are real)2024Relation between Roots and Coefficients
  13. 13If the quadratic equation has two roots and such that and then2024Location of Roots
  14. 14If one root of \(x^2+p x-q^2=0, p\) and \(q\) are real, be less than 2 and other be greater than 2, then2023Location of Roots
  15. 15If are odd integers, then the roots of the equation are2022Relation between Roots and Coefficients
  16. 16The value of a for which sum of the squares of the roots of the equation assumes the least value is2022Relation between Roots and Coefficients
  17. 17Let be the roots of the equation with . If for , then the value of is2021Relation between Roots and Coefficients
  18. 18The equation has2021Graph and Sign of Quadratic
  19. 19The expression and are real has the same sign as that of a for all if2020Graph and Sign of Quadratic
  20. 20Let . Then2020N degree equation
  21. 21If and , where are all real], then has2020Relation between Roots and Coefficients
  22. 22Let be real numbers such that and the quadratic equation has imaginary roots. Then.2019Relation between Roots and Coefficients
  23. 23If then the number ofreal values of is2019N degree equation
  24. 24Let be the roots of and be the roots of If and are in GP. then ab equals2019Relation between Roots and Coefficients
  25. 25If and are all real numbers, then at least one of the equations and has2018Relation between Roots and Coefficients
  26. 26If the equation has roots equal to the fourth powers of the roots of where then the roots of will be2018Relation between Roots and Coefficients
  27. 27If are odd integers, then the roots of the equation are2017Relation between Roots and Coefficients
  28. 28For real , the greatest value of is2017Range of Quadratic Function
  29. 29If and the equation has real roots, then2017Relation between Roots and Coefficients
  30. 30If are the roots of the equation then2016Relation between Roots and Coefficients
  31. 31The number of values of for which the equation has two distinct roots lying in the interval are2016Location of Roots
  32. 32If and are roots of then the equation whose roots are and is2016Relation between Roots and Coefficients
  33. 33If the equation has real roots and then2016Range of Quadratic Function
  34. 34If and are the roots of and is a root of then is2015Relation between Roots and Coefficients
  35. 35The quadratic expression for any real if2015Relation between Roots and Coefficients
  36. 36For all real values of satisfying the equation has a real root in the interval2015N degree equation
  37. 37If and are the roots of the equation where and are real constants, then product of all the roots of the equation is2015Relation between Roots and Coefficients
  38. 38Which of the following is/are always false?2015Relation between Roots and Coefficients
  39. 39The number of solution(s) of the equation is/are2014N degree equation
  40. 40In a , tan and are the roota Then, is2014Relation between Roots and Coefficients
  41. 41Let . If we write as for real numbers then2014N degree equation
  42. 42If are the roots of and are the roots of then the ratio of the squares of their discriminants is2014Relation between Roots and Coefficients
  43. 43Let be real numbers. If is the root of is a root of and then the equation has a root that always satisfies2014Relation between Roots and Coefficients
  44. 44For every real number , let Then the equation has2014Location of Roots
  45. 45Let be the roots of and for all integers Then, for every integer2014Relation between Roots and Coefficients
  46. 46If are the roots of the quadratic equation then the values of and are respectively2014Relation between Roots and Coefficients
  47. 47Let be a quadratic polynomial with constant term 1. Suppose when divided by leaves remainder 2 and when divided by leaves remainder Then, th2013Relation between Roots and Coefficients
  48. 48If are the roots of the quadratic equation then the quadratic equation whose roots are is2013Relation between Roots and Coefficients
  49. 49If and are the roots of the quadratic equation and then2013Relation between Roots and Coefficients
  50. 50If be the roots of the equation Then, which of the following statements is/are correct?2013Relation between Roots and Coefficients

Frequently Asked Questions

1.How many questions are available for Quadratic Equation?

This chapter includes 65 questions compiled from WBJEE papers spanning 2009 to 2026.

2.Are these questions only from WBJEE, or from other exams too?

These are WBJEE questions specifically for the Quadratic Equation chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Quadratic Equation an important chapter for WBJEE Mathematics?

Quadratic Equation has appeared in 18 of the 18 years of WBJEE papers covered here, with 65 questions across 18 papers - about 4 per paper it appears in.

4.What is the difficulty level of Quadratic Equation questions in WBJEE?

Of the 65 questions analysed for this chapter, 31% are easy, 51% moderate and 18% tough. 2014 had the most, with 8 questions.

5.Which topics in Quadratic Equation should I focus on?

These topics have carried the most weightage in Quadratic Equation:

  • Relation between Roots and Coefficients - 43 questions (66%)
  • Location of Roots - 6 questions (9%)
  • N degree equation - 5 questions (8%)
  • Relation between Roots and Coefficients has produced the most tough questions (6).
6.Is Quadratic Equation's weightage in WBJEE going up or down?

Across all 18 papers analysed, Quadratic Equation has averaged about 3.6 questions per paper. In the last three years (2024–2026), that average has risen, at about 4.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.