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Mathematics - Quadratic Equation

Practise 354 AP 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 AP EAMCET tests.

Quadratic Equation has been asked in 24 of the 24 years of AP EAMCET papers analysed (2001–2024), with 354 questions in all. 39% of them were easy, 50% moderate and 11% tough. Most of its questions came from 2023, with 36 questions that year. In the last three years (2022–2024) it had 97 questions across 28 papers, about 3.5 per paper.

The chapter's 8 topics are not weighted equally: Relation between Roots and Coefficients (135 questions, 38%), N degree equation (123 questions, 35%), and Location of Roots (24 questions, 7%) have been asked the most. Relation between Roots and Coefficients has also led over the last five years, with 65 questions. N degree equation has produced the most tough questions (20).

  1. 1If is the common root of the quadratic equations , , where , then the value of is27 May, 2025 (M)Common Roots
  2. 2If are the roots of and are the roots of , then27 May, 2025 (M)Quadratic Equation
  3. 3If are the roots of the equation , then27 May, 2025 (M)Relation between Roots and Coefficients
  4. 4Let and . If and are nonzero real numbers such that , then lies in the interval26 May, 2025 (M)Range of Quadratic Function
  5. 5If for all whenever , then26 May, 2025 (M)Relation between Roots and Coefficients
  6. 6If are the roots of the equation and one of them is thrice the sum of the other two roots, then26 May, 2025 (M)N degree equation
  7. 7The polynomial equation of degree 5 whose roots are the roots of the equation each increased by 2, is26 May, 2025 (M)N degree equation
  8. 8If the difference of the roots of the equation is same as the difference of the roots of the equation , then a divisor of k is26 May, 2025 (E)Quadratic Equation
  9. 9The product of all the real roots of the equation is26 May, 2025 (E)Quadratic Equation
  10. 10If and are the roots of equation , then26 May, 2025 (E)Relation between Roots and Coefficients
  11. 11After the roots of the equation are diminished by , if the transformed equation does not contain term, then the product of all the possible 26 May, 2025 (E)Quadratic Equation
  12. 12The number of distinct quadratic equations with unequal real roots that can be formed by choosing the coefficients from the set is26 May, 2025 (E)Relation between Roots and Coefficients
  13. 13is an degree polynomial satisfying . If , then the value of is24 May, 2025 (M)Quadratic Equation
  14. 14The number of solutions of the equation is24 May, 2025 (M)Quadratic Equation
  15. 15If and are the roots of the equation , then24 May, 2025 (M)N degree equation
  16. 16Two roots of the equation are positive and equal. If the product of the other two real roots is 1, then24 May, 2025 (M)N degree equation
  17. 17If are the roots of the equation satisfying the conditions and , then23 May, 2025 (M)Relation between Roots and Coefficients
  18. 18If are the roots of the equation , then23 May, 2025 (M)Relation between Roots and Coefficients
  19. 19If the sum of two roots of the equation is zero, then the sum of the squares of the other two roots is23 May, 2025 (M)Quadratic Equation
  20. 20Let . If is the least positive integral value of , then the roots of are23 May, 2025 (E)Graph and Sign of Quadratic
  21. 21If the roots of the equation are real, distinct and differ atmost by 2 m, then b lies in the interval23 May, 2025 (E)Relation between Roots and Coefficients
  22. 22The cubic equation whose roots are the squares of the roots of the equation is23 May, 2025 (E)Quadratic Equation
  23. 23If are the roots of the equation , then23 May, 2025 (E)Relation between Roots and Coefficients
  24. 24If for every , then the sum of all possible integral values of is22 May, 2025 (M)Relation between Roots and Coefficients
  25. 25If is a repeated root of multiplicity 2 of the equation , then22 May, 2025 (M)Quadratic Equation
  26. 26The equation will have22 May, 2025 (M)Quadratic Equation
  27. 27If represent any two elements (identical or different) of the set , , then the probability that is22 May, 2025 (M)Relation between Roots and Coefficients
  28. 28is a quadratic polynomial satisfying the condition . If , then the range of is22 May, 2025 (E)Quadratic Equation
  29. 29If and zero are the roots of the equation , then22 May, 2025 (E)Relation between Roots and Coefficients
  30. 30When the roots of are increased by 1, if one of the resultant values is the least root of , then22 May, 2025 (E)N degree equation
  31. 31Let 'a' be a non-zero real number. If the equation whose roots are the squares of the roots of the cubic equation is identical with this cub22 May, 2025 (E)N degree equation
  32. 32If the harmonic mean of the roots of the equation is 4, then the value of is21 May, 2025 (M)Quadratic Equation
  33. 33All the values of such that the quadratic expression is negative for exactly three integral vaules of , lie in the interval21 May, 2025 (M)Location of Roots
  34. 34If and are the multiple roots of the equation , then21 May, 2025 (M)N degree equation
  35. 35If and are the roots of the equation such that , then21 May, 2025 (M)Quadratic Equation
  36. 36Let and be a linear polynomial. If , then21 May, 2025 (M)N degree equation
  37. 37The roots of the equation are equal in magnitude but opposite in sign. if , then the product of the roots of the equation is21 May, 2025 (E)Quadratic Equation
  38. 38If and the expressions and have their extreme values at the same point , then for the expression21 May, 2025 (E)Graph and Sign of Quadratic
  39. 39If and are the roots of , then21 May, 2025 (E)N degree equation
  40. 40If is a factor of , then the other quadratic factor of is21 May, 2025 (E)Quadratic Equation
  41. 41Given . Out of first 20 natural numbers, if a number is chosen at random, then the probability that the chosen satisfies the inequality is21 May, 2025 (E)Quadratic Equation
  42. 42The set of all real values of satisfying the inequality is23 May, 2024 (M)Graph and Sign of Quadratic
  43. 43The set of all values of for which the inequality is true for all real values of is23 May, 2024 (M)Graph and Sign of Quadratic
  44. 44The cubic equation whose roots are the squares of the roots of the equation is23 May, 2024 (M)N degree equation
  45. 45are the roots of the equation 0 . If and are the roots of the equation , then23 May, 2024 (M)N degree equation
  46. 46If are the roots of the equation , and , then the value of is equal to22 May, 2024 (M)N degree equation
  47. 47If both the roots of the equation exceeds 3 , then22 May, 2024 (M)Location of Roots
  48. 48If and are two distinct negative roots of , then the equation of least degree with integer coefficients having and as its roots is22 May, 2024 (M)N degree equation
  49. 49If the number of real roots of is , the number of complex roots having argument on imaginary axis is and the number of complex roots having 22 May, 2024 (M)N degree equation
  50. 50If ' ' is a rational number, then the roots of the equation are22 May, 2024 (E)Relation between Roots and Coefficients

Frequently Asked Questions

1.How many questions are available for Quadratic Equation?

This chapter includes 354 questions compiled from AP EAMCET papers spanning 2001 to 2025.

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

These are AP 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 AP EAMCET Mathematics?

Quadratic Equation has appeared in 25 of the 25 years of AP EAMCET papers covered here, with 354 questions across 93 papers - about 4 per paper it appears in.

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

Of the 354 questions analysed for this chapter, 39% are easy, 50% moderate and 11% tough. 2023 had the most, with 36 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 - 135 questions (38%)
  • N degree equation - 123 questions (35%)
  • Location of Roots - 24 questions (7%)
  • N degree equation has produced the most tough questions (20).
6.Is Quadratic Equation's weightage in AP EAMCET going up or down?

Across all 93 papers analysed, Quadratic Equation has averaged about 3.8 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 3.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.