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Mathematics - Ellipse

Practise 33 MHTCET previous year questions on Ellipse, 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.

Ellipse has been asked in 9 of the 17 years of MHTCET papers analysed (2007–2026), with 33 questions in all. 39% of them were easy, 55% moderate and 6% tough. Most of its questions came from 2026, with 8 questions that year. In the last three years (2024–2026) it had 16 questions across 59 papers, about 0.3 per paper.

The chapter's 6 topics are not weighted equally: Equation of Ellipse (22 questions, 67%), Tangent to ellipse (4 questions, 12%), and Line and ellipse (4 questions, 12%) have been asked the most. Equation of Ellipse has also led over the last five years, with 12 questions. Tangent to ellipse has produced the most tough questions (1).

  1. 1If is the eccentric angle of a point on the ellipse such that the distance of the point from the center is , then .......20 Apr, 2026 (M)Equation of Ellipse
  2. 2If be any point on the ellipse with foci and and area of is 9 square units, then the abscissa of point is...........20 Apr, 2026 (E)Equation of Ellipse
  3. 3A tangent having slope to the ellipse intersects the X-axis and Y-axis at the points A and B respectively. if O is the origin, then the area19 Apr, 2026 (M)Line and ellipse
  4. 4The eccentricity of the ellipse represented by the equation is...19 Apr, 2026 (E)Equation of Ellipse
  5. 5If the eccentricity of the ellipse is and its focal chord is , then the value of is...18 Apr, 2026 (M)Equation of Ellipse
  6. 6The equations of the tangents to the ellipse making an inclination of with the major axis are17 Apr, 2026 (M)Line and ellipse
  7. 7If the line touches the ellipse , then the value of k is.17 Apr, 2026 (E)Line and ellipse
  8. 8The ellipse intersects positive Y-axis at point A. If S and S' are its foci, then the area (in sq. units) of is _____11 Apr, 2026 (E)Equation of Ellipse
  9. 9The eccentric angle of the point of the ellipse is05 May, 2025 (E)Equation of Ellipse
  10. 10The tangent to the ellipse making equal intercepts on the co-ordinate axes intersects the X -axis and the Y -axis in the points and respecti26 Apr, 2025 (E)Line and ellipse
  11. 11The eccentricity of the curve represented by , is25 Apr, 2025 (M)Equation of Ellipse
  12. 12The foci of the conic are23 Apr, 2025 (E)Equation of Ellipse
  13. 13The foci of a hyperbola coincide with the foci of the ellipse . The equation of the hyperbola with eccentricity 2 is22 Apr, 2025 (E)Equation of Ellipse
  14. 14The equations of two ellipses are be and . If the product of their eccentricities is , then the product of the length of the major axis and 20 Apr, 2025 (E)Equation of Ellipse
  15. 15An ellipse has as semi-minor axis, and are foci and angle is a right angle. Then the eccentricity of the ellipse is19 Apr, 2025 (M)Equation of Ellipse
  16. 16The eccentricity of the ellipse is19 Apr, 2025 (E)Equation of Ellipse
  17. 17If is the eccentricity of the ellipse and is the eccentricity of the hyperbola , then20 Oct, 2020 (E)Equation of Ellipse
  18. 18If is end point of minor axis of the ellipse and and S' are foci of ellipse such that is an equilateral triangle, then eccentricity19 Oct, 2020 (M)Equation of Ellipse
  19. 19The eccentricity of the ellipse is16 Oct, 2020 (E)Equation of Ellipse
  20. 20If foci of the ellipse and the hyperbola coincide, then the value of is15 Oct, 2020 (M)Equation of Ellipse
  21. 21If and is a pair of semi-conjugate diameters of the ellipse , then15 Oct, 2020 (E)Diameter to ellipse
  22. 22The co-ordinates of foci of the ellipse are13 Oct, 2020 (M)Equation of Ellipse
  23. 23The eccentricity of the ellipse given by the equation is12 Oct, 2020 (E)Equation of Ellipse
  24. 24The length of the latus rectum of an ellipse is 18 5 and eccentricity is 4 5 , then equation of the ellipse is…2019 (M)Equation of Ellipse
  25. 25From point tangents and are drawn to the ellipse . Then, angle subtended by at origin is2011Tangent to ellipse
  26. 26The sum of focal radii of the curve is2010Equation of Ellipse
  27. 27The equation of tangent to the curve which makes equal intercepts with coordinate axes, is2010Tangent to ellipse
  28. 28If touches the ellipse , then is equal to2009Tangent to ellipse
  29. 29Tangent to the ellipse having slope meet the coordinate axes in and . Find the area of the , where is the origin.2009Tangent to ellipse
  30. 30If the line be normal to the ellipse , then2008Normal to ellipse
  31. 31The parametric representation of a point on the ellipse whose foci are and and eccentricity , is2007Equation of Ellipse
  32. 32A common tangent to and , is2007Common Tangent
  33. 33The foci of the ellipse and the hyperbola coincide, then the value of is2007Equation of Ellipse

Frequently Asked Questions

1.How many questions are available for Ellipse?

This chapter includes 33 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 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 MHTCET Mathematics?

Ellipse has appeared in 9 of the 17 years of MHTCET papers covered here, with 33 questions across 29 papers - about one per paper it appears in.

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

Of the 33 questions analysed for this chapter, 39% are easy, 55% moderate and 6% tough. 2026 had the most, with 8 questions.

5.Which topics in Ellipse should I focus on?

These topics have carried the most weightage in Ellipse:

  • Equation of Ellipse - 22 questions (67%)
  • Tangent to ellipse - 4 questions (12%)
  • Line and ellipse - 4 questions (12%)
  • Tangent to ellipse has produced the most tough questions (1).
6.Is Ellipse's weightage in MHTCET going up or down?

Across all 29 papers analysed, Ellipse has averaged about 1.1 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.