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Mathematics - Quadratic Equation

Practise 26 MHTCET previous year questions on Quadratic Equation, compiled from papers spanning 2017 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 MHTCET tests.

Quadratic Equation has been asked in 7 of the 17 years of MHTCET papers analysed (2007–2026), with 26 questions in all. 35% of them were easy, 54% moderate and 12% tough. Most of its questions came from 2024, with 8 questions that year. In the last three years (2024–2026) it had 18 questions across 59 papers, about 0.3 per paper.

The chapter's 5 topics are not weighted equally: Relation between Roots and Coefficients (19 questions, 73%), Location of Roots (2 questions, 8%), and N degree equation (2 questions, 8%) have been asked the most. Relation between Roots and Coefficients has also led over the last five years, with 14 questions. Relation between Roots and Coefficients has produced the most tough questions (1).

  1. 1Let be an integer selected at random from the set . The probability that the equation has real roots is ...19 Apr, 2026 (M)Relation between Roots and Coefficients
  2. 2The difference between the roots of the equation is (where )18 Apr, 2026 (E)Relation between Roots and Coefficients
  3. 3If and are the roots of the equation , then the value of is...17 Apr, 2026 (E)Relation between Roots and Coefficients
  4. 4A ball is thrown in the air. Its height at any time is given by , then the maximum height it can reach16 Apr, 2026 (M)Range of Quadratic Function
  5. 5The quadratic polynomial has roots and , while quadratic polynomial has roots and . Let and be the roots of . Then13 Apr, 2026 (E)Relation between Roots and Coefficients
  6. 6With usual notations in , if , and are roots of equation , , then25 Apr, 2025 (E)Relation between Roots and Coefficients
  7. 7If , then the value of is equal to23 Apr, 2025 (M)N degree equation
  8. 8If and 2,3 are the roots of the equation then the value of is20 Apr, 2025 (E)Relation between Roots and Coefficients
  9. 9If triangle is a right angled at and are roots of the equation , then19 Apr, 2025 (E)Relation between Roots and Coefficients
  10. 10The value of ' ' so that the sum of squares of the roots of the equation assumes the least value is19 Apr, 2025 (E)Relation between Roots and Coefficients
  11. 11The equation has _______ solutions.15 May, 2024 (M)Descartes Rule of Sign
  12. 12The Number of values of that satisfy the conclusion of Rolle's theorem in case of following function is15 May, 2024 (E)Location of Roots
  13. 13In a . If and are the roots of the equation , then11 May, 2024 (E)Relation between Roots and Coefficients
  14. 14Let be the roots of the equation and be the roots of the equation . Then the value of r is09 May, 2024 (E)Relation between Roots and Coefficients
  15. 15The number of roots of the equation, in the interval , is equal to03 May, 2024 (M)Range of Quadratic Function
  16. 16The equation in the variable , has real roots. Then p can take any value in the interval03 May, 2024 (E)Relation between Roots and Coefficients
  17. 17The equation in the variable , has real roots. Then p can take any value in the interval03 May, 2024 (E)Relation between Roots and Coefficients
  18. 18Let and be two real roots of the equation where and are real numbers. If , then a value of is03 May, 2024 (E)Relation between Roots and Coefficients
  19. 19The equation has14 May, 2023 (M)N degree equation
  20. 20In , with tustal notations, , if and are the roots of the equation. , then09 May, 2023 (E)Relation between Roots and Coefficients
  21. 21If and , then20 Oct, 2020 (E)Relation between Roots and Coefficients
  22. 22The quadratic equation whose roots are the numbers having arithmetic mean 34 and geometric mean 16 is19 Oct, 2020 (E)Relation between Roots and Coefficients
  23. 23If the A.M. and G.M. of the roots of a quadratic equation in are and q respectively, then its equation is15 Oct, 2020 (E)Relation between Roots and Coefficients
  24. 24If and are slopes of the lines represented by , then14 Oct, 2020 (M)Relation between Roots and Coefficients
  25. 25If A = x ∈ R x 2 + 5 x + 6 = 0 then n A =2019 (M)Location of Roots
  26. 26If α and β are roots of the equation x 2 + 5 x - 6 = 0 then the value of tan - 1 ⁡ α - tan - 1 ⁡ β is2017Relation between Roots and Coefficients

Frequently Asked Questions

1.How many questions are available for Quadratic Equation?

This chapter includes 26 questions compiled from MHTCET papers spanning 2017 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Quadratic Equation has appeared in 7 of the 17 years of MHTCET papers covered here, with 26 questions across 23 papers - about one per paper it appears in.

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

Of the 26 questions analysed for this chapter, 35% are easy, 54% moderate and 12% tough. 2024 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 - 19 questions (73%)
  • Location of Roots - 2 questions (8%)
  • N degree equation - 2 questions (8%)
  • Relation between Roots and Coefficients has produced the most tough questions (1).
6.Is Quadratic Equation's weightage in MHTCET going up or down?

Across all 23 papers analysed, Quadratic Equation has averaged about 1.1 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.