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Mathematics - Parabola

Practise 17 BITSAT previous year questions on Parabola, compiled from papers spanning 2009 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 BITSAT tests.

Parabola has been asked in 13 of the 16 years of BITSAT papers analysed (2009–2024), with 17 questions in all. 53% of them were easy, 24% moderate and 24% tough. Most of its questions came from 2024, with 2 questions that year. In the last three years (2022–2024) it had 6 questions across 5 papers, about 1.2 per paper.

The chapter's 8 topics are not weighted equally: standard equation of parabola (6 questions, 35%), Chord of parabola (3 questions, 18%), and Line and parabola (2 questions, 12%) have been asked the most. Over the last five years the most frequent topics have been Line and parabola (2), standard equation of parabola (2), and Chord of parabola (1). Chord of parabola has produced the most tough questions (2).

  1. 1Let be the length of the common chord of the curves and , and be the length of the latus rectum of , then:2024 (Memory Based Paper 1)Chord of parabola
  2. 2If the focus of parabola always lies between the lines and then2024 (Memory Based Paper 2)Line and parabola
  3. 3The equation of a common tangent to the parabolas and is2023 (Memory Based Paper 1)Common Tangent
  4. 4If vertex of a parabola is and the equation of its directrix is , then the length of its latus rectum is2023 (Memory Based Paper 2)standard equation of parabola
  5. 5If the straight line touches the parabola , then is2022Line and parabola
  6. 6A normal is drawn at the point to the parabola , which is inclined at with the straight line . Then the point lies on the straight line2022Normal to Parabola
  7. 7The length of the latus rectum of the parabola which has focus at (-1,1) and the directrix is is2020standard equation of parabola
  8. 8Suppose a parabola y = a x 2 + b x + c has two x intercepts, one positive and one negative, and its vertex is ( 2 , - 2 ) , then which of th2019standard equation of parabola
  9. 9Normals drawn to y 2 = 4 a x at the points where it is intersected by the line y = m x + c intersected at P . Coordinates of foot of the ano2018Normal to Parabola
  10. 10The locus of the point of intersection of two tangents to the parabola which are at right angle to one another is2016Locus
  11. 11The parabola having its focus at (3,2) and directrix along the -axis has its vertex at2016standard equation of parabola
  12. 12Let be the focus of the parabola and be the common chord of the circle and the given parabola. The area of is2015Chord of parabola
  13. 13Through the vertex of a parabola , chords OP and are drawn at right angles to one another. The locus of the middle point of is2014Chord of parabola
  14. 14If the line touches the parabola then find the value of2013Tangent to Parabola
  15. 15The length of the latus-rectum of the parabola whose focus is \( ( {u^2}{2 g} 2 ,- {u^2}{2 g} 2 )\) and directrix is \(y= {u^2}{2 g}\), is2011standard equation of parabola
  16. 16If the equations of the pairs of opposite sides of a parallelogram are \(x^2-5 x+6=0\) and \(y^2-6 y+5=0\), then equations of its diagonals 2010Director Circle
  17. 17The line \(3 x-4 y+7=0\) is rotated through an angle \( { }{4}\) in the clockwise direction about the point \((-1,1)\). The equation of the 2009standard equation of parabola

Frequently Asked Questions

1.How many questions are available for Parabola?

This chapter includes 17 questions compiled from BITSAT papers spanning 2009 to 2024.

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

These are BITSAT 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 BITSAT Mathematics?

Parabola has appeared in 13 of the 16 years of BITSAT papers covered here, with 17 questions across 15 papers - about one per paper it appears in.

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

Of the 17 questions analysed for this chapter, 53% are easy, 24% moderate and 24% tough. 2024 had the most, with 2 questions.

5.Which topics in Parabola should I focus on?

These topics have carried the most weightage in Parabola:

  • standard equation of parabola - 6 questions (35%)
  • Chord of parabola - 3 questions (18%)
  • Line and parabola - 2 questions (12%)
  • Chord of parabola has produced the most tough questions (2).
6.Is Parabola's weightage in BITSAT going up or down?

Across all 15 papers analysed, Parabola has averaged about 1.1 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 1.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.