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Mathematics - Quadratic Equation

Practise 18 VITEEE previous year questions on Quadratic Equation, compiled from papers spanning 2006 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 VITEEE tests.

Quadratic Equation has been asked in 10 of the 18 years of VITEEE papers analysed (2006–2024), with 18 questions in all. 56% of them were easy, 28% moderate and 17% tough. Most of its questions came from 2009, with 3 questions that year. In the last three years (2022–2024) it had 2 questions across 2 papers, about 1 per paper.

The chapter's 5 topics are not weighted equally: Common Roots (9 questions, 50%), Graph and Sign of Quadratic (3 questions, 17%), and Range of Quadratic Function (3 questions, 17%) have been asked the most. Over the last five years the most frequent topics have been N degree equation (1) and Relation between Roots and Coefficients (1). Range of Quadratic Function has produced the most tough questions (3).

  1. 1Given, , then is equal to2024N degree equation
  2. 2If one root of the equation \((l- {m}) {x}^2+l {x}+1=0\) is double of the other and if \(l\) is real then the greatest value of \( {m}\) is 2022Relation between Roots and Coefficients
  3. 3If , then the values of are2013Graph and Sign of Quadratic
  4. 4The number of real solutions of the equation is2012Range of Quadratic Function
  5. 5If one root is square of the other root of the equation , then the relations between and is2012Common Roots
  6. 6If the roots of the equation are and , then one of the roots of the equation is2011Relation between Roots and Coefficients
  7. 7If , then is equal to2010Common Roots
  8. 8If two circles and cut orthogonally, then the value of is2010Common Roots
  9. 9The roots of are always2009Graph and Sign of Quadratic
  10. 10Let , where . If has all its roots imaginary, then the roots of are2009Graph and Sign of Quadratic
  11. 11If is divisible by , then is equal to2009Common Roots
  12. 12If be a relation defined as a if , then the relation is2008Common Roots
  13. 13If the sides of a right-angle triangle form an A.P., the 'Sin' of the acute angles are2008Common Roots
  14. 14Let the pairs and each determine a plane. Then the planes are parallel if2007Common Roots
  15. 15If and , then equals2007Range of Quadratic Function
  16. 16If and are two unit vectors, then the vector is parallel to the vector2007Common Roots
  17. 17The length of the shortest distance between the lines and is2006Range of Quadratic Function
  18. 18If are in G.P. then is equal to2006Common Roots

Frequently Asked Questions

1.How many questions are available for Quadratic Equation?

This chapter includes 18 questions compiled from VITEEE papers spanning 2006 to 2024.

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

These are VITEEE 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 VITEEE Mathematics?

Quadratic Equation has appeared in 10 of the 18 years of VITEEE papers covered here, with 18 questions across 10 papers - about 2 per paper it appears in.

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

Of the 18 questions analysed for this chapter, 56% are easy, 28% moderate and 17% tough. 2009 had the most, with 3 questions.

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

These topics have carried the most weightage in Quadratic Equation:

  • Common Roots - 9 questions (50%)
  • Graph and Sign of Quadratic - 3 questions (17%)
  • Range of Quadratic Function - 3 questions (17%)
  • Range of Quadratic Function has produced the most tough questions (3).
6.Is Quadratic Equation's weightage in VITEEE going up or down?

Across all 10 papers analysed, Quadratic Equation has averaged about 1.8 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.