Mathematics - Ellipse
Practise 14 KCET previous year questions on Ellipse, compiled from papers spanning 2007 to 2025. 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.
Ellipse has been asked in 9 of the 20 years of KCET papers analysed (2007–2026), with 14 questions in all. 57% of them were easy, 21% 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 6 topics are not weighted equally: Equation of Ellipse (6 questions, 43%), Auxillary Circle (2 questions, 14%), and Locus (2 questions, 14%) have been asked the most. Equation of Ellipse has also led over the last five years, with 1 question. Tangent to ellipse has produced the most tough questions (2).
- 1The length of the latus rectum of is2025Equation of Ellipse
- 2The eccentricity of the ellipse \( 9 x^{2}+25 y^{2}=225 \) is2019Equation of Ellipse
- 3Area of the region bounded by the curve \( y= x, x=0 \) and \( x= \) is2017Equation of Ellipse
- 4The sum of the squares of the eccentricities of the conics and is2013Equation of Ellipse
- 5If the area of the auxillary circle of the ellipse where, is twice the area of the ellipse, then the eccentricity of the ellipse is2013Auxillary Circle
- 6The locus of the point of intersection of perpendicular tangents to the ellipse is called2012Director Circle
- 7Area of a triangle formed by tangent and normal to the curve at with the -axis is2011Tangent to ellipse
- 8If is tangent to , then the value of is2011Tangent to ellipse
- 9If is a point on with focii and , then the maximum value of is2011Locus
- 10The eccentric angle of the point lying on is2010Equation of Ellipse
- 11The locus of a point which moves such that the sum of its distances from two fixed points is a constant, is2008Locus
- 12The equation represents an ellipse, if2008General Equation of 2nd degree curve
- 13If is any point on the ellipse and and are the foci, then is equal to2007Equation of Ellipse
- 14If the area of the auxillary circle of the ellipse is twice the area of the ellipse, then the eccentricity of the ellipse is2007Auxillary Circle
Frequently Asked Questions
1.How many questions are available for Ellipse?
This chapter includes 14 questions compiled from KCET papers spanning 2007 to 2025.
2.Are these questions only from KCET, or from other exams too?
These are KCET questions specifically for the Ellipse chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Ellipse an important chapter for KCET Mathematics?
Ellipse has appeared in 9 of the 20 years of KCET papers covered here, with 14 questions across 9 papers - about 2 per paper it appears in.
4.What is the difficulty level of Ellipse questions in KCET?
Of the 14 questions analysed for this chapter, 57% are easy, 21% moderate and 21% tough. 2011 had the most, with 3 questions.
5.Which topics in Ellipse should I focus on?
These topics have carried the most weightage in Ellipse:
- Equation of Ellipse - 6 questions (43%)
- Auxillary Circle - 2 questions (14%)
- Locus - 2 questions (14%)
- Tangent to ellipse has produced the most tough questions (2).
6.Is Ellipse's weightage in KCET going up or down?
Across all 9 papers analysed, Ellipse has averaged about 1.6 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.