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Mathematics - Quadratic Equation

Practise 31 Manipal (MET) previous year questions on Quadratic Equation, compiled from papers spanning 2010 to 2021. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty Manipal (MET) tests.

Quadratic Equation has been asked in 12 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 31 questions in all. 55% of them were easy, 45% moderate and 0% tough. Most of its questions came from 2020, with 4 questions that year.

The chapter's 6 topics are not weighted equally: Relation between Roots and Coefficients (22 questions, 71%), N degree equation (4 questions, 13%), and Range of Quadratic Function (2 questions, 6%) have been asked the most. Relation between Roots and Coefficients has also led over the last five years, with 5 questions.

  1. 1If the roots are complex, then2021Relation between Roots and Coefficients
  2. 2The equation in the variable , has real roots. Then, can take any value in the interval2021Range of Quadratic Function
  3. 3If and are the roots of , then the value of is2021Relation between Roots and Coefficients
  4. 4The least value of , for which the function has atleast one solution in the interval , is2020Relation between Roots and Coefficients
  5. 5Roots of equation lie in the interval2020N degree equation
  6. 6The sum of the real solutions of equation is2020Relation between Roots and Coefficients
  7. 7The quadratic equation whose roots are and , will be2020Relation between Roots and Coefficients
  8. 8The number of real solutions of the equation is2019N degree equation
  9. 9If the equation and have a common root then is equal to2019Common Roots
  10. 10The value of for which the sum of the cubes of the roots of assumes the least value, is2019Relation between Roots and Coefficients
  11. 11The equation in the variable , has real roots. Then, can take any value in the interval2018N degree equation
  12. 12The condition that one root of the equation may be square of the other, is2018Relation between Roots and Coefficients
  13. 13If the roots are complex, then2017Range of Quadratic Function
  14. 14If is the quadratic equation whose roots are and , where and are the roots of , then2017Relation between Roots and Coefficients
  15. 15If the product of roots of the equation is -1 , then the value of is2017Relation between Roots and Coefficients
  16. 16If , then atleast one root of the equation lies in the interval2016Relation between Roots and Coefficients
  17. 17If and are the roots of the equation , then the value of is2015Relation between Roots and Coefficients
  18. 18If , then the quadratic equation whose roots are and , is2014Relation between Roots and Coefficients
  19. 19If , and are the roots of2014Relation between Roots and Coefficients
  20. 20If , then the roots and of the equation , satisfy the condition , where is equal to2013Relation between Roots and Coefficients
  21. 21If the roots of the equation are real and distinct then the value of2013Relation between Roots and Coefficients
  22. 22If the sum of two of the roots of is zero, then2013Relation between Roots and Coefficients
  23. 23If and are such that , then relation between and is2012Graph and Sign of Quadratic
  24. 24If the roots of the equation are real and less than 3 , then2012Relation between Roots and Coefficients
  25. 25If are the roots of , then the equation whose roots are , is2011N degree equation
  26. 26If the roots of the equation be equal in magnitude but opposite in sign, then is equal to2011Relation between Roots and Coefficients
  27. 27If , then at least one root of the equation lies in the interval2011Location of Roots
  28. 28If , roots of the equation are2010Relation between Roots and Coefficients
  29. 29If are such that , then is2010Relation between Roots and Coefficients
  30. 30If are three distinct positive real numbers of real roots of is2010Relation between Roots and Coefficients
  31. 31Let be real numbers with and let be the roots of the equation , then has roots2010Relation between Roots and Coefficients

Frequently Asked Questions

1.How many questions are available for Quadratic Equation?

This chapter includes 31 questions compiled from Manipal (MET) papers spanning 2010 to 2021.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Quadratic Equation has appeared in 12 of the 15 years of Manipal (MET) papers covered here, with 31 questions across 12 papers - about 3 per paper it appears in.

4.What is the difficulty level of Quadratic Equation questions in Manipal (MET)?

Of the 31 questions analysed for this chapter, 55% are easy, 45% moderate and 0% tough. 2020 had the most, with 4 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 - 22 questions (71%)
  • N degree equation - 4 questions (13%)
  • Range of Quadratic Function - 2 questions (6%)