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Mathematics - Parabola

Practise 21 VITEEE previous year questions on Parabola, compiled from papers spanning 2006 to 2023. 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.

Parabola has been asked in 16 of the 18 years of VITEEE papers analysed (2006–2024), with 21 questions in all. 43% of them were easy, 48% moderate and 10% tough. Most of its questions came from 2017, with 4 questions that year. In the last three years (2022–2024) it had 2 questions across 2 papers, about 1 per paper.

The chapter's 7 topics are not weighted equally: Chord of parabola (5 questions, 24%), Normal to Parabola (5 questions, 24%), and Tangent to Parabola (4 questions, 19%) have been asked the most. Over the last five years the most frequent topics have been Tangent to Parabola (2) and Normal to Parabola (1). Normal to Parabola has produced the most tough questions (1).

  1. 1The equation of the tangent to the parabola \(y^2=6 x\) at the point whose ordinate is 6 , is2023Tangent to Parabola
  2. 2If a chord which is normal to the parabola at one end and subtends a right angle at the vertex, then slope of the chord is2022Normal to Parabola
  3. 3Angle formed by the positive Y-axis and the tangent to at is2021Tangent to Parabola
  4. 4The equation represents a parabola with the vertex at2019standard equation of parabola
  5. 5The focus of the curve is2018standard equation of parabola
  6. 6If the parabola ax passes through the point , then the tangent at this point is2018Tangent to Parabola
  7. 7A straight line parallel to the line is also a tangent to the curve . Then the point of contact is2017Tangent to Parabola
  8. 8The condition that the line be a normal to the parabola is]2017Normal to Parabola
  9. 9The parabola having its focus at and directrix along the y-axis has its vertex at2017standard equation of parabola
  10. 10The tangent lines to the curve at points where , are2017Pair of Tangents
  11. 11The normal at the point on the parabola, cuts the parabola again at the point whose parameter is2016Normal to Parabola
  12. 12The normal at the point on the parabola meets the parabola again in the point , then2015Normal to Parabola
  13. 13The normals at three points and of the parabola meet at . The centroid of the lies on2014Normal to Parabola
  14. 14Equation of the chord of the hyperbola which is bisected at the point is2014Chord of parabola
  15. 15The equation of the conic with focus at directrix along and with eccentricity is2012General Equation of 2nd degree curve
  16. 16The locus of the mid-points of the focal chord of the parabola is2011Chord of parabola
  17. 17If satisfies the equation , then is equal to2010Chord of parabola
  18. 18The number of normals drawn to the parabola from the point is2009Position of point
  19. 19In a triangle , the sides and are the roots of the equation and , then is equal to2008Chord of parabola
  20. 20The value of the integral is2007Position of point
  21. 21The particular integral of is2006Chord of parabola

Frequently Asked Questions

1.How many questions are available for Parabola?

This chapter includes 21 questions compiled from VITEEE papers spanning 2006 to 2023.

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

These are VITEEE questions specifically for the Parabola chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Parabola an important chapter for VITEEE Mathematics?

Parabola has appeared in 16 of the 18 years of VITEEE papers covered here, with 21 questions across 16 papers - about one per paper it appears in.

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

Of the 21 questions analysed for this chapter, 43% are easy, 48% moderate and 10% tough. 2017 had the most, with 4 questions.

5.Which topics in Parabola should I focus on?

These topics have carried the most weightage in Parabola:

  • Chord of parabola - 5 questions (24%)
  • Normal to Parabola - 5 questions (24%)
  • Tangent to Parabola - 4 questions (19%)
  • Normal to Parabola has produced the most tough questions (1).
6.Is Parabola's weightage in VITEEE going up or down?

Across all 16 papers analysed, Parabola has averaged about 1.3 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.