Mathematics - Hyperbola
Practise 14 KCET previous year questions on Hyperbola, compiled from papers spanning 2007 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.
Hyperbola has been asked in 10 of the 20 years of KCET papers analysed (2007–2026), with 14 questions in all. 43% of them were easy, 36% moderate and 21% tough. Most of its questions came from 2011, with 3 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 7 topics are not weighted equally: Equation of hyperbola (7 questions, 50%), Locus (2 questions, 14%), and Normal to hyperbola (1 question, 7%) have been asked the most. Equation of hyperbola has also led over the last five years, with 1 question. Equation of hyperbola has produced the most tough questions (1).
- 1In the figure Statement-I: When , the section is hyperbola Statement-II: When , the section is ellipse Which of the following is correct?2026General Equation of 2nd degree curve
- 2The distance between the foci of a hyperbola is 16 and its eccentricity is . Its equation is2023Equation of hyperbola
- 3The distance between the foci of a hyperbola is \( 16 \) and its eccentricity is \( {2} \). Its equation is2018Equation of hyperbola
- 4If \( x=a ^{3} , y=a ^{3} \), then \( 1+ ( {d y}{d x} )^{2} \) is2015Equation of hyperbola
- 5If the distance between the focii and the distance between the directrices of the hyperbola are in the ratio , then is2013Equation of hyperbola
- 6If is a tangent to the hyperbola , then the point of contact is2012Tangent to hyperbola
- 7The tangent to the curve at any point on it cuts the coordinate axes at and , then the area of the is2012Rectangular hyperbola
- 8Locus of a point which moves such that its distance from the -axis is twice its distance from the line is2011Locus
- 9If the focii of and coincide, then the value of is2011Locus
- 10The equation of a hyperbola whose asymptotes are and vertices are is2011Asymptotes
- 11The distance of the focus of , form the directrix which is nearer to it, is2010Equation of hyperbola
- 12If and are the eccentricities of a hyperbola and its conjugate, then2008Equation of hyperbola
- 13The equation of the normal to the hyperbola at is2008Normal to hyperbola
- 14If is a hyperbola, then which of the following statements can be true?2007Equation of hyperbola
Frequently Asked Questions
1.How many questions are available for Hyperbola?
This chapter includes 14 questions compiled from KCET papers spanning 2007 to 2026.
2.Are these questions only from KCET, or from other exams too?
These are KCET questions specifically for the Hyperbola chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Hyperbola an important chapter for KCET Mathematics?
Hyperbola has appeared in 10 of the 20 years of KCET papers covered here, with 14 questions across 10 papers - about one per paper it appears in.
4.What is the difficulty level of Hyperbola questions in KCET?
Of the 14 questions analysed for this chapter, 43% are easy, 36% moderate and 21% tough. 2011 had the most, with 3 questions.
5.Which topics in Hyperbola should I focus on?
These topics have carried the most weightage in Hyperbola:
- Equation of hyperbola - 7 questions (50%)
- Locus - 2 questions (14%)
- Normal to hyperbola - 1 question (7%)
- Equation of hyperbola has produced the most tough questions (1).
6.Is Hyperbola's weightage in KCET going up or down?
Across all 10 papers analysed, Hyperbola has averaged about 1.4 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.