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Mathematics - Quadratic Equation

Practise 24 BITSAT previous year questions on Quadratic Equation, compiled from papers spanning 2009 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty BITSAT tests.

Quadratic Equation has been asked in 12 of the 16 years of BITSAT papers analysed (2009–2024), with 24 questions in all. 58% of them were easy, 33% moderate and 8% tough. Most of its questions came from 2023, with 6 questions that year. In the last three years (2022–2024) it had 11 questions across 6 papers, about 1.8 per paper.

The chapter's 6 topics are not weighted equally: Relation between Roots and Coefficients (19 questions, 79%), Common Roots (1 question, 4%), and Graph and Sign of Quadratic (1 question, 4%) have been asked the most. Relation between Roots and Coefficients has also led over the last five years, with 10 questions. Relation between Roots and Coefficients has produced the most tough questions (2).

  1. 1If and are the roots of the equation , then2024 (Memory Based Paper 1)Relation between Roots and Coefficients
  2. 2Rational roots of the equation are2024 (Memory Based Paper 2)N degree equation
  3. 3Roots of the equation are2024 (Memory Based Paper 3)Location of Roots
  4. 4The roots of the given equation are :2023 (Memory Based Paper 1)Relation between Roots and Coefficients
  5. 5The range of the function is2023 (Memory Based Paper 1)Range of Quadratic Function
  6. 6Solution of is2023 (Memory Based Paper 1)Relation between Roots and Coefficients
  7. 7If one root of the equation is 4, while the equation . has equal roots, then the value of ' ' is2023 (Memory Based Paper 1)Relation between Roots and Coefficients
  8. 8The roots of the given equation are :2023 (Memory Based Paper 2)Relation between Roots and Coefficients
  9. 9Solve2023 (Memory Based Paper 2)Relation between Roots and Coefficients
  10. 10If be a root of the equation , then the other root of the equation is2022Relation between Roots and Coefficients
  11. 11Let be the solutions of and be the solution of . If and are the solution of , then is equal to2022Relation between Roots and Coefficients
  12. 12Find the value of such that the sum of the squares of the roots of the equation is least.2021Relation between Roots and Coefficients
  13. 13The number of real solutions of the equation is2020Relation between Roots and Coefficients
  14. 14In the real number system, the equation x + 3 - 4 x - 1 + x + 8 - 6 x - 1 = 1 has2019Relation between Roots and Coefficients
  15. 15Let p and q be roots of the equation x 2 - 2 x + A = 0 and let r and s be the roots of the equation x 2 - 18 x + B = 0 . If p q r s are in a2019Relation between Roots and Coefficients
  16. 16If x , y , z R , x + y + z = 5 , x 2 + y 2 + z 2 = 9 , then length of interval in which x lies is2019Relation between Roots and Coefficients
  17. 17For the equation 3 x 2 + p x + 3 = 0 , p 0 , if one of the roots is square of the other, then p is equal to2017Relation between Roots and Coefficients
  18. 18If are the roots of the equations then what is the value of2016Relation between Roots and Coefficients
  19. 19If and are real numbers then the roots of the equation are always2016Relation between Roots and Coefficients
  20. 20If a and bare non-zero roots of then the least value of is2015Relation between Roots and Coefficients
  21. 21If \( , \) are the roots of the equation \( {ax}^2+ {bx}+ {c}=0\), then the roots of the equation \( {ax}^2+ {bx}( {x}+1)+ {c}( {x}+1)^2=0\)2011Relation between Roots and Coefficients
  22. 22Which of the following functions is differentiable at \(x=0\) ?2010Graph and Sign of Quadratic
  23. 23\(10^n+3 (4^{n+2} )+5\) is divisible by \((n N)\)2009Common Roots
  24. 24If the expression \(x^2-11 x+a\) and \(x^2-14 x+2 a\) must have a common factor and \( {a} 0\), then, the common factor is2009Relation between Roots and Coefficients

Frequently Asked Questions

1.How many questions are available for Quadratic Equation?

This chapter includes 24 questions compiled from BITSAT papers spanning 2009 to 2024.

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

These are BITSAT 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 BITSAT Mathematics?

Quadratic Equation has appeared in 12 of the 16 years of BITSAT papers covered here, with 24 questions across 15 papers - about 2 per paper it appears in.

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

Of the 24 questions analysed for this chapter, 58% are easy, 33% moderate and 8% tough. 2023 had the most, with 6 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 (79%)
  • Common Roots - 1 question (4%)
  • Graph and Sign of Quadratic - 1 question (4%)
  • Relation between Roots and Coefficients has produced the most tough questions (2).
6.Is Quadratic Equation's weightage in BITSAT going up or down?

Across all 15 papers analysed, Quadratic Equation has averaged about 1.6 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 1.8 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.