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Mathematics - Ellipse

Practise 16 VITEEE previous year questions on Ellipse, 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.

Ellipse has been asked in 12 of the 18 years of VITEEE papers analysed (2006–2024), with 16 questions in all. 50% of them were easy, 38% moderate and 13% tough. Most of its questions came from 2024, with 2 questions that year. In the last three years (2022–2024) it had 4 questions across 3 papers, about 1.3 per paper.

The chapter's 8 topics are not weighted equally: Tangent to ellipse (4 questions, 25%), Equation of Ellipse (3 questions, 19%), and Locus (3 questions, 19%) have been asked the most. Over the last five years the most frequent topics have been Locus (2), Common Tangent (1), and Equation of Ellipse (1). General Equation of 2nd degree curve has produced the most tough questions (1).

  1. 1Consider the ellipse , where . Then, locus of point of intersection of one of the directrix and tangent at upper end of minor axis is2024Locus
  2. 2If the curves and intersect at right angles, then ' ' equals to2024Common Tangent
  3. 3A point \(P\) moves such that the sum of twice its distance from the origin and its distance from the \(y\)-axis is a constant equal to 3 . 2023Locus
  4. 4The equation of the ellipse with focus at \(( 5,0)\) and \(x= {36}{5}\) as one directrix is2022Equation of Ellipse
  5. 5The conic represented by is2019Locus
  6. 6The eccentricity of the ellipse whose major axis is three times the minor axis is:2018Equation of Ellipse
  7. 7The value of does the line touches the ellipse is/are2018Line and ellipse
  8. 8The foci of the ellipse and the hyperbola coincide then value of is2016Equation of Ellipse
  9. 9If line is a normal to the ellipse , then2015Normal to ellipse
  10. 10The minimum area of the triangle formed by any tangent to the ellipse with the coordinate axes is2014Tangent to ellipse
  11. 11If a tangent having slope of to the ellipse intersects the major and minor axes in points and respectively, then the area of is equal to ( i2013Tangent to ellipse
  12. 12The locus of mid points of tangents intercepted between the axes of ellipse will be2013Tangent to ellipse
  13. 13The eccentricity of the ellipse, which meets the straight line on the axis of and the straight line on the axis of and whose axes lie along 2012Line and ellipse
  14. 14If and cut at right angles, then2012Pair of Tangents
  15. 15If the axes are shifted to the point with out solution, then the equation becomes2011General Equation of 2nd degree curve
  16. 16If and , then2006Tangent to ellipse

Frequently Asked Questions

1.How many questions are available for Ellipse?

This chapter includes 16 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 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 VITEEE Mathematics?

Ellipse has appeared in 12 of the 18 years of VITEEE papers covered here, with 16 questions across 12 papers - about one per paper it appears in.

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

Of the 16 questions analysed for this chapter, 50% are easy, 38% moderate and 13% tough. 2024 had the most, with 2 questions.

5.Which topics in Ellipse should I focus on?

These topics have carried the most weightage in Ellipse:

  • Tangent to ellipse - 4 questions (25%)
  • Equation of Ellipse - 3 questions (19%)
  • Locus - 3 questions (19%)
  • General Equation of 2nd degree curve has produced the most tough questions (1).
6.Is Ellipse's weightage in VITEEE going up or down?

Across all 12 papers analysed, Ellipse has averaged about 1.3 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 1.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.