Mathematics - Parabola
Practise 16 Manipal (MET) previous year questions on Parabola, compiled from papers spanning 2010 to 2024. 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.
Parabola has been asked in 9 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 16 questions in all. 31% of them were easy, 63% moderate and 6% tough. Most of its questions came from 2012, with 4 questions that year. In the last three years (2022–2024) it had 1 question across 1 paper, about 1 per paper.
The chapter's 8 topics are not weighted equally: standard equation of parabola (4 questions, 25%), Common Tangent (3 questions, 19%), and Chord of parabola (2 questions, 13%) have been asked the most. Over the last five years the most frequent topics have been Tangent to Parabola (1). Line and parabola has produced the most tough questions (1).
- 1If two tangents drawn from the point to the parabola be such that the slope of one tangent is 8 times of the other, then the value of is2024Tangent to Parabola
- 2The equation of the parabola whose vertex is , axis is vertical and which passes through the point , is2019standard equation of parabola
- 3The coordinates of the point on the parabola , which is nearest to the straight line , are2016Position of point
- 4If the line is the directrix of the parabola , then one of the value of is2015standard equation of parabola
- 5Two common tangents to the circle and parabola are2015Common Tangent
- 6The common tangent of the parabolas and is2014Common Tangent
- 7If the line cuts the parabola at and , then is equal to where [where .2014Line and parabola
- 8is a chord of the parabola with vertex is drawn perpendicular to meeting the axis at . The projection of on the axis of the parabola is2014Chord of parabola
- 9An equlateral triangle is inscribed in the parabola having its focus at . If chord lies towards the lefit of , then side length of this tria2013Chord of parabola
- 10Minimum distance between the curves and is2013Normal to Parabola
- 11The equation of directrix of the parabola is2012standard equation of parabola
- 12The curve described parametrically by represents2012General Equation of 2nd degree curve
- 13The mid-point of the line joining the common points of the line and is2012Line and parabola
- 14The equation of the common tangent to the curves and is2012Common Tangent
- 15The equation of parabola whose vertex and focus are and respectively, is2011standard equation of parabola
- 16If the normal to the parabola at the point cuts the parabola again at , then2010Normal to Parabola
Frequently Asked Questions
1.How many questions are available for Parabola?
This chapter includes 16 questions compiled from Manipal (MET) papers spanning 2010 to 2024.
2.Are these questions only from Manipal (MET), or from other exams too?
These are Manipal (MET) 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 Manipal (MET) Mathematics?
Parabola has appeared in 9 of the 15 years of Manipal (MET) papers covered here, with 16 questions across 9 papers - about 2 per paper it appears in.
4.What is the difficulty level of Parabola questions in Manipal (MET)?
Of the 16 questions analysed for this chapter, 31% are easy, 63% moderate and 6% tough. 2012 had the most, with 4 questions.
5.Which topics in Parabola should I focus on?
These topics have carried the most weightage in Parabola:
- standard equation of parabola - 4 questions (25%)
- Common Tangent - 3 questions (19%)
- Chord of parabola - 2 questions (13%)
- Line and parabola has produced the most tough questions (1).
6.Is Parabola's weightage in Manipal (MET) going up or down?
Across all 9 papers analysed, Parabola has averaged about 1.8 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.