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Mathematics - Quadratic Equation

Practise 11 KCET previous year questions on Quadratic Equation, compiled from papers spanning 2008 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 KCET tests.

Quadratic Equation has been asked in 10 of the 20 years of KCET papers analysed (2007–2026), with 11 questions in all. 55% of them were easy, 45% moderate and 0% tough. Most of its questions came from 2012, with 2 questions that year. In the last three years (2024–2026) it had 1 question across 3 papers, about 0.3 per paper.

The chapter's 3 topics are not weighted equally: N degree equation (6 questions, 55%), Relation between Roots and Coefficients (4 questions, 36%), and Descartes Rule of Sign (1 question, 9%) have been asked the most. Over the last five years the most frequent topics have been Relation between Roots and Coefficients (2).

  1. 1If and are acute angles such that and satisfy the equation , then and are respectively,2026Relation between Roots and Coefficients
  2. 2If ,the quadratic equation whose roots are and is2022Relation between Roots and Coefficients
  3. 3If \( \) and \( \) are roots of the equation \( ^{2}+x+1=0 \) then \( ^{2}+ ^{2} \) is2019N degree equation
  4. 4If \( {a}= {i}+2 {j}+2 {k},| {b}|=5 \) and the angle between \( {a} \) and \( {b} \) is \( { }{6} \), then the area of the triangle formed b2015Relation between Roots and Coefficients
  5. 5If the roots of the equation are in , then is equal to2013N degree equation
  6. 6If is , then is2012Descartes Rule of Sign
  7. 7If and are the roots of the equation , then is equal to2012N degree equation
  8. 8If and are roots of , then the value of is2011N degree equation
  9. 9If are the roots of , then is a root of2010N degree equation
  10. 10If and are the roots of , then is equal to2009Relation between Roots and Coefficients
  11. 11The real root of the equation is2008N degree equation

Frequently Asked Questions

1.How many questions are available for Quadratic Equation?

This chapter includes 11 questions compiled from KCET papers spanning 2008 to 2026.

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

These are KCET 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 KCET Mathematics?

Quadratic Equation has appeared in 10 of the 20 years of KCET papers covered here, with 11 questions across 10 papers - about one per paper it appears in.

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

Of the 11 questions analysed for this chapter, 55% are easy, 45% moderate and 0% tough. 2012 had the most, with 2 questions.

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

These topics have carried the most weightage in Quadratic Equation:

  • N degree equation - 6 questions (55%)
  • Relation between Roots and Coefficients - 4 questions (36%)
  • Descartes Rule of Sign - 1 question (9%)
6.Is Quadratic Equation's weightage in KCET going up or down?

Across all 10 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.