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Mathematics - Hyperbola

Practise 18 MHTCET previous year questions on Hyperbola, compiled from papers spanning 2009 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.

Hyperbola has been asked in 9 of the 17 years of MHTCET papers analysed (2007–2026), with 18 questions in all. 33% of them were easy, 61% moderate and 6% tough. Most of its questions came from 2020, with 5 questions that year. In the last three years (2024–2026) it had 6 questions across 59 papers, about 0.1 per paper.

The chapter's 6 topics are not weighted equally: Equation of hyperbola (11 questions, 61%), Tangent to hyperbola (3 questions, 17%), and Rectangular hyperbola (1 question, 6%) have been asked the most. Over the last five years the most frequent topics have been Tangent to hyperbola (3), Equation of hyperbola (2), and Normal to hyperbola (1). Rectangular hyperbola has produced the most tough questions (1).

  1. 1If the line is a tangent to the hyperbola , then16 Apr, 2026 (M)Line and hyperbola
  2. 2If the line touches the hyperbola , then the sum of the co-ordinates of the point of contact is...15 Apr, 2026 (M)Tangent to hyperbola
  3. 3The eccentricity of the hyperbola which passes through the points and is25 Apr, 2025 (E)Equation of hyperbola
  4. 4If the tangent at the point to the hyperbola is parallel to , then the value of is23 Apr, 2025 (M)Tangent to hyperbola
  5. 5The X and Y intercepts of the tangent to the hyperbola which is perpendicular to the line , are respectively22 Apr, 2025 (M)Tangent to hyperbola
  6. 6The area of the region bounded by hyperbola and its latus rectum is02 May, 2024 (M)Equation of hyperbola
  7. 7If the line is a normal to the curve , then10 May, 2023 (M)Normal to hyperbola
  8. 8The centre of the hyperbola is Ans i.20 Oct, 2020 (M)Equation of hyperbola
  9. 9The eccentricity of a rectangular hyperbola is19 Oct, 2020 (M)Equation of hyperbola
  10. 10If represents a joint equation of directrices of the hyperbola , then15 Oct, 2020 (M)General Equation of 2nd degree curve
  11. 11The eccentricity of the hyperbola is14 Oct, 2020 (M)Equation of hyperbola
  12. 12If lies on the hyperbola and and are foci of the hyperbola, then14 Oct, 2020 (E)Equation of hyperbola
  13. 13If P x 1 , y 1 is a point on the hyperbola x 2 - y 2 = a 2 , then S P . S ' P = ________02 May, 2019 (M)Equation of hyperbola
  14. 14If the lengths of the transverse axis and the latus rectum of a hyperbola are 6 and 8 3 respectively, then, the equation of the hyperbola is02 May, 2019 (M)Equation of hyperbola
  15. 15The eccentricity of hyperbola 25 x 2 - 9 y 2 = 225 is…2019 (M)Equation of hyperbola
  16. 16The normal to the rectangular hyperbola at the point ' ' ' meets the curve again at a point , such that2011Rectangular hyperbola
  17. 17If and represent the eccentricity of the curves and respectively. Then, is equal to2010Equation of hyperbola
  18. 18Focus of hyperbola is and equation of tangent is , find the equation of hyperbola.2009Equation of hyperbola

Frequently Asked Questions

1.How many questions are available for Hyperbola?

This chapter includes 18 questions compiled from MHTCET papers spanning 2009 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Hyperbola has appeared in 9 of the 17 years of MHTCET papers covered here, with 18 questions across 17 papers - about one per paper it appears in.

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

Of the 18 questions analysed for this chapter, 33% are easy, 61% moderate and 6% tough. 2020 had the most, with 5 questions.

5.Which topics in Hyperbola should I focus on?

These topics have carried the most weightage in Hyperbola:

  • Equation of hyperbola - 11 questions (61%)
  • Tangent to hyperbola - 3 questions (17%)
  • Rectangular hyperbola - 1 question (6%)
  • Rectangular hyperbola has produced the most tough questions (1).
6.Is Hyperbola's weightage in MHTCET going up or down?

Across all 17 papers analysed, Hyperbola has averaged about 1.1 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.1 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.