Jump to a section

Mathematics - Ellipse

Practise 15 Manipal (MET) previous year questions on Ellipse, compiled from papers spanning 2010 to 2020. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty Manipal (MET) tests.

Ellipse has been asked in 9 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 15 questions in all. 53% of them were easy, 47% moderate and 0% tough. Most of its questions came from 2014, with 3 questions that year.

The chapter's 7 topics are not weighted equally: Equation of Ellipse (5 questions, 33%), Tangent to ellipse (4 questions, 27%), and Locus (2 questions, 13%) have been asked the most. Over the last five years the most frequent topics have been Locus (1) and Normal to ellipse (1).

  1. 1The condition for the line to be a normal to is2020Normal to ellipse
  2. 2The locus of the extrimities of the latusrectum of the family of ellipses having a given major axis, is2020Locus
  3. 3The length of the axis of the conic are2019Equation of Ellipse
  4. 4If the distance between the foci of an ellipse is 6 and the length of the minor axis is 8 , then the eccentricity is2019Equation of Ellipse
  5. 5Tangent to the ellipse having slope meet the coordinate axis at and . Then, the area of , where is the origin, is2016Tangent to ellipse
  6. 6The eccentricity of the conic is2015Equation of Ellipse
  7. 7The radius of the circle passing through the foci of the ellipse and having its centre at is2014Locus
  8. 8The area of the quadrilateral formed by the tangents at the end point of latusrectum to the ellipse is2014Properties of Tangent
  9. 9The minimum radius vector of the curve is of length2014Equation of Ellipse
  10. 10If the line cuts the ellipse in points whose eccentoric angles differ by , then is equal to2013Line and ellipse
  11. 11If the tangent to ellipse at point meets the auxiliary circle at the points and , then tangents to circle at and intersect at2013Tangent to ellipse
  12. 12Tangent is drawn to ellipse at , where . Then, the value of such that the sum of intercept on axes made by this tangent is minimum, is2012Tangent to ellipse
  13. 13If is a variable point on the ellipse , with as major axis. Then, the maximum value of the area of the is2012Position of point
  14. 14The equation of the ellipse whose axes are parallel to the coordinate axes having its centre at the point and focus at and one vertex at is2011Equation of Ellipse
  15. 15The number of real tangents that can be drawn to the ellipse passing through is2010Tangent to ellipse

Frequently Asked Questions

1.How many questions are available for Ellipse?

This chapter includes 15 questions compiled from Manipal (MET) papers spanning 2010 to 2020.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Ellipse has appeared in 9 of the 15 years of Manipal (MET) papers covered here, with 15 questions across 9 papers - about 2 per paper it appears in.

4.What is the difficulty level of Ellipse questions in Manipal (MET)?

Of the 15 questions analysed for this chapter, 53% are easy, 47% moderate and 0% tough. 2014 had the most, with 3 questions.

5.Which topics in Ellipse should I focus on?

These topics have carried the most weightage in Ellipse:

  • Equation of Ellipse - 5 questions (33%)
  • Tangent to ellipse - 4 questions (27%)
  • Locus - 2 questions (13%)