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Mathematics - Quadratic Equation

Practise 281 TS EAMCET previous year questions on Quadratic Equation, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty TS EAMCET tests.

Quadratic Equation has been asked in 24 of the 24 years of TS EAMCET papers analysed (2001–2024), with 281 questions in all. 40% of them were easy, 46% moderate and 15% tough. Most of its questions came from 2023, with 30 questions that year. In the last three years (2022–2024) it had 76 questions across 17 papers, about 4.5 per paper.

The chapter's 8 topics are not weighted equally: N degree equation (105 questions, 37%), Relation between Roots and Coefficients (101 questions, 36%), and Range of Quadratic Function (20 questions, 7%) have been asked the most. N degree equation has also led over the last five years, with 47 questions. N degree equation has produced the most tough questions (22).

  1. 1If and , for two real numbers b and c, then04 May, 2025 (M)Quadratic Equation
  2. 2If are the roots of the equation and are the roots of the equation then k satisfies the equation04 May, 2025 (M)Quadratic Equation
  3. 3If is a second degree polynomial such that and then04 May, 2025 (M)Relation between Roots and Coefficients
  4. 4If one of the roots of the equation is an integer and , are the other two roots, then04 May, 2025 (M)Quadratic Equation
  5. 5If are the roots of the equation and then04 May, 2025 (M)N degree equation
  6. 6and for . If , then04 May, 2025 (E)Graph and Sign of Quadratic
  7. 7If is a root of the equation , then sum of the squares of the other roots is04 May, 2025 (E)N degree equation
  8. 8If are the roots of the equation and , are the roots of the equation , then04 May, 2025 (E)N degree equation
  9. 9If the equations and have a common root then the sum of the roots of the equation is03 May, 2025 (M)Common Roots
  10. 10If both roots of the equation exceed 1, then the range of ' ' is03 May, 2025 (M)Location of Roots
  11. 11If are the roots of the equation such that and are integers and are irrational numbers, then03 May, 2025 (M)N degree equation
  12. 12The equation having the multiple root of the equation as its root is03 May, 2025 (M)Common Roots
  13. 13If the range of the real valued function is , then03 May, 2025 (E)Quadratic Equation
  14. 14If the quotient and remainder obtained when the expression is divided by the expression are and respectively, then03 May, 2025 (E)N degree equation
  15. 15If are the roots of the equation such that and , then03 May, 2025 (E)N degree equation
  16. 16The number of integral values of ' ' for which the quadratic equation cannot have real roots is02 May, 2025 (M)Relation between Roots and Coefficients
  17. 17If the roots of the equation are in arithmetic progression, then the square of the common difference of the roots is02 May, 2025 (M)N degree equation
  18. 18If the sum of two roots of the equation is zero then the sum of the squares of the other two roots is02 May, 2025 (M)Relation between Roots and Coefficients
  19. 19If the equation has different real roots for every rational number , then K lies in the interval02 May, 2025 (E)Relation between Roots and Coefficients
  20. 20The number of all common roots of the equation and the transformed equation of it obtained by increasing any two distinct roots of it by 1, 02 May, 2025 (E)Quadratic Equation
  21. 21If are the roots of the equation and , are the roots of the equation , then the possible least value of is02 May, 2025 (E)N degree equation
  22. 22If is a quadratic function such that , then11 May, 2024 (M)N degree equation
  23. 23are the real roots of the equation . If and , then11 May, 2024 (M)Relation between Roots and Coefficients
  24. 24If are the roots of the equation , then11 May, 2024 (M)N degree equation
  25. 25The equation has a multiple root. If are the roots of this equation, then11 May, 2024 (M)N degree equation
  26. 26If are the roots of the equation , then10 May, 2024 (M)Relation between Roots and Coefficients
  27. 27are the real roots of the equation . If , then10 May, 2024 (M)N degree equation
  28. 28If the expression attains its extreme value at , then the sum of the squares of the roots of the equation is10 May, 2024 (M)Range of Quadratic Function
  29. 29are the roots of the equation . If and , then10 May, 2024 (M)N degree equation
  30. 30are the roots of the equation If and are in geometric progression, then the extreme value of the expression is10 May, 2024 (M)N degree equation
  31. 31If then10 May, 2024 (M)Relation between Roots and Coefficients
  32. 32The roots of the equation are , and are complex cube roots of unity. If the terms containing and are missing in the transformed equation whe10 May, 2024 (E)N degree equation
  33. 33With respect to the roots of the equation , match the items of List-I with those of List-II.10 May, 2024 (E)Location of Roots
  34. 34If the quadratic equation has real and equal roots, then the value of such that is09 May, 2024 (M)Common Roots
  35. 35The equations and have exactly one common root. If , then one of the roots of the equation is09 May, 2024 (M)Common Roots
  36. 36If are the roots of the equation , then09 May, 2024 (M)N degree equation
  37. 37The sum of two roots of the equation is zero. If are the roots of this equation, then09 May, 2024 (M)N degree equation
  38. 38is a root of the equation . If , then09 May, 2024 (E)Location of Roots
  39. 39If are the roots of the equation , then09 May, 2024 (E)Relation between Roots and Coefficients
  40. 40are the roots of the equation If , then09 May, 2024 (E)Relation between Roots and Coefficients
  41. 41If for all real values of , then the set of all possible values of is14 May, 2023 (M)Graph and Sign of Quadratic
  42. 42If is the range of , then the sum of the intercepts of the line on the coordinate axes is14 May, 2023 (M)Range of Quadratic Function
  43. 43The quadratic equation whose roots are and is14 May, 2023 (M)Relation between Roots and Coefficients
  44. 44The roots of the equation are diminished by so that the transformed equation does not contain term. If the values of such are and , then14 May, 2023 (M)N degree equation
  45. 45are the roots of the equation then14 May, 2023 (M)N degree equation
  46. 46If are the roots of and are the roots of , then14 May, 2023 (E)Relation between Roots and Coefficients
  47. 47The sum of all the real values of satisfying the equation is14 May, 2023 (E)Relation between Roots and Coefficients
  48. 48If a polynomial given by is such that and , then14 May, 2023 (E)N degree equation
  49. 49If the roots of the equation are in harmonic progression, then14 May, 2023 (E)N degree equation
  50. 50Preview not available - open to view this question.14 May, 2023 (E)N degree equation

Frequently Asked Questions

1.How many questions are available for Quadratic Equation?

This chapter includes 281 questions compiled from TS EAMCET papers spanning 2001 to 2025.

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

These are TS EAMCET 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 TS EAMCET Mathematics?

Quadratic Equation has appeared in 25 of the 25 years of TS EAMCET papers covered here, with 281 questions across 64 papers - about 4 per paper it appears in.

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

Of the 281 questions analysed for this chapter, 40% are easy, 46% moderate and 15% tough. 2023 had the most, with 30 questions.

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

These topics have carried the most weightage in Quadratic Equation:

  • N degree equation - 105 questions (37%)
  • Relation between Roots and Coefficients - 101 questions (36%)
  • Range of Quadratic Function - 20 questions (7%)
  • N degree equation has produced the most tough questions (22).
6.Is Quadratic Equation's weightage in TS EAMCET going up or down?

Across all 64 papers analysed, Quadratic Equation has averaged about 4.4 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 4.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.