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Mathematics - Parabola

Practise 32 MHTCET previous year questions on Parabola, 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 MHTCET tests.

Parabola has been asked in 11 of the 17 years of MHTCET papers analysed (2007–2026), with 32 questions in all. 47% of them were easy, 50% moderate and 3% tough. Most of its questions came from 2025, with 7 questions that year. In the last three years (2024–2026) it had 12 questions across 59 papers, about 0.2 per paper.

The chapter's 7 topics are not weighted equally: standard equation of parabola (16 questions, 50%), Tangent to Parabola (5 questions, 16%), and Common Tangent (5 questions, 16%) have been asked the most. standard equation of parabola has also led over the last five years, with 7 questions. Common Tangent has produced the most tough questions (1).

  1. 1A parabola has its focus on the positive X-axis and the Y-axis as its directrix. If is a point on this parabola such that the tangent to the18 Apr, 2026 (E)standard equation of parabola
  2. 2The area of the triangle formed by the lines joining the vertex of the parabola to the ends of its latus rectum, is .....13 Apr, 2026 (M)standard equation of parabola
  3. 3A point on the parabola at which the ordinate increases at thrice the rate of the abscissa is .....13 Apr, 2026 (M)standard equation of parabola
  4. 4The distance of the focus of the parabola from its directrix is...13 Apr, 2026 (E)standard equation of parabola
  5. 5The length of latus rectum of the parabola whose focus is and directrix is is ______ units.27 Apr, 2025 (E)standard equation of parabola
  6. 6The equation of the directrix of the parabola is26 Apr, 2025 (M)standard equation of parabola
  7. 7The angle, between the tangents drawn from the point to the parabola , is26 Apr, 2025 (M)Tangent to Parabola
  8. 8The line is tangent to the parabola , if the value of m is22 Apr, 2025 (M)Line and parabola
  9. 9The Y-intercept of the common tangent to the parabola and is21 Apr, 2025 (M)Common Tangent
  10. 10Angle between the parabola and at the common end of their latus rectum is21 Apr, 2025 (E)Common Tangent
  11. 11The area of the triangle formed by the lines joining the vertex of the parabola to the end of its Latus rectum is20 Apr, 2025 (M)standard equation of parabola
  12. 12The equation of the tangent to the parabola , which is parallel to the line is15 May, 2024 (M)Tangent to Parabola
  13. 13The equation of the directrix of the parabola is19 Oct, 2020 (E)standard equation of parabola
  14. 14The cartesian co-ordinates of the point on the parabola whose parameter is are16 Oct, 2020 (M)standard equation of parabola
  15. 15The length of latus -rectum of the parabola is16 Oct, 2020 (E)standard equation of parabola
  16. 16The length of latus rectum of the parabola whose focus is at and directrix is the line is13 Oct, 2020 (M)standard equation of parabola
  17. 17The focal distance of the point on the parabola with vertex at and symmetric about y-axis is13 Oct, 2020 (E)standard equation of parabola
  18. 18The cartesian co-ordinates of the point on the parabola y 2 = − 16 x , whose parameter is 1 2 are2018standard equation of parabola
  19. 19The pole of the line w.r.t. the parabola will be2012Locus
  20. 20If is normal to the parabola , then is2012Normal to Parabola
  21. 21If the line is tangent to the parabola , then2012Tangent to Parabola
  22. 22The intercept of the latusrectum to the parabola are and , then is equal to2012standard equation of parabola
  23. 23The equation of directrix is to the parabola will be2012standard equation of parabola
  24. 24The equation of the common tangent touching the circle and the parabola above the -axis is2011Common Tangent
  25. 25The equations of the normals at the ends of the latusrectum of the parabola are given by2011Normal to Parabola
  26. 26The equation of common tangent to the circle and the parabola is . Then value of is2010Common Tangent
  27. 27The equation of the curve whose vertex is and length of latusrectum is , is2010standard equation of parabola
  28. 28The focal distance of a point on the parabola if the ordinate of is 6, is2009Position of point
  29. 29Equation of tangent to the parabola at is2009Tangent to Parabola
  30. 30The focal distance of a point on the parabola whose ordinate is twice the abscissa, is2008Position of point
  31. 31The equation of common tangent to the circle and parabola is2008Common Tangent
  32. 32The equation to the line touching both the parabolas and , is2007Tangent to Parabola

Frequently Asked Questions

1.How many questions are available for Parabola?

This chapter includes 32 questions compiled from MHTCET papers spanning 2007 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Parabola has appeared in 11 of the 17 years of MHTCET papers covered here, with 32 questions across 22 papers - about one per paper it appears in.

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

Of the 32 questions analysed for this chapter, 47% are easy, 50% moderate and 3% tough. 2025 had the most, with 7 questions.

5.Which topics in Parabola should I focus on?

These topics have carried the most weightage in Parabola:

  • standard equation of parabola - 16 questions (50%)
  • Tangent to Parabola - 5 questions (16%)
  • Common Tangent - 5 questions (16%)
  • Common Tangent has produced the most tough questions (1).
6.Is Parabola's weightage in MHTCET going up or down?

Across all 22 papers analysed, Parabola has averaged about 1.5 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.