Mathematics - Parabola
Practise 20 KCET previous year questions on Parabola, compiled from papers spanning 2007 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 KCET tests.
Parabola has been asked in 12 of the 20 years of KCET papers analysed (2007–2026), with 20 questions in all. 50% of them were easy, 30% moderate and 20% tough. Most of its questions came from 2009, with 4 questions that year. In the last three years (2024–2026) it had 1 question across 3 papers, about 0.3 per paper.
The chapter's 8 topics are not weighted equally: standard equation of parabola (6 questions, 30%), Tangent to Parabola (5 questions, 25%), and Locus (3 questions, 15%) have been asked the most. standard equation of parabola has also led over the last five years, with 1 question. Tangent to Parabola has produced the most tough questions (1).
- 1The equation of parabola whose focus is and directrix is is2024standard equation of parabola
- 2If the parabola passes through the point and has its tangent at parallel to -axis, then2021Tangent to Parabola
- 3The number of terms in the expansion of is2020standard equation of parabola
- 4The length of latus rectum of the parabola \( 4 y^{2}+3 x+3 y+1=0 \) is2016General Equation of 2nd degree curve
- 5If \( f(x)=f( +e-x) \) and \( _{e}^{I I} f(x) d x= {2}{e+ ^{ }} \), then \( _{e}^{I I} x f(x) d x \) is equal to2014Chord of parabola
- 6The equation of the tangent to the parabola inclined at an angle of to the positive direction of -axis, is2013Tangent to Parabola
- 7If a ball is thrown vertically upwards and the height ' ' reached in time ' ' is given by , then the total distance travelled by the ball is2012standard equation of parabola
- 8If and represent the parametric equation of the parabola2012Locus
- 9The length of the latusrectum of is2011standard equation of parabola
- 10The sum of the reciprocals of focal distances of a focal chord of is2011Chord of parabola
- 11The locus of the point of intersection of the tangents drawn at the ends of a focal chord of the parabola is2010Tangent to Parabola
- 12The condition for the line to be normal to the parabola is2010Normal to Parabola
- 13For the parabola , the point whose focal distance is 17 , is2009Position of point
- 14The angle between the tangents drawn to the parabola from the point is2009Pair of Tangents
- 15The number of values of such that the line touches the curve is2009Tangent to Parabola
- 16A stone is thrown vertically upwards from the top of a tower high according to the law . The greatest height attained by the stone above gro2009standard equation of parabola
- 17The locus of the mid point of the line joining the focus and any point on the parabola is a parabola with the equation of directrix as2008Locus
- 18The tangents drawn at the extremeties of a focal chord of the parabola2008Tangent to Parabola
- 19A stone is thrown vertically upwards and the height reached by the stone in t seconds is given by . The stone reaches the maximum height in2008Locus
- 20The focus of the parabola is2007standard equation of parabola
Frequently Asked Questions
1.How many questions are available for Parabola?
This chapter includes 20 questions compiled from KCET papers spanning 2007 to 2024.
2.Are these questions only from KCET, or from other exams too?
These are KCET 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 KCET Mathematics?
Parabola has appeared in 12 of the 20 years of KCET papers covered here, with 20 questions across 12 papers - about 2 per paper it appears in.
4.What is the difficulty level of Parabola questions in KCET?
Of the 20 questions analysed for this chapter, 50% are easy, 30% moderate and 20% tough. 2009 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 - 6 questions (30%)
- Tangent to Parabola - 5 questions (25%)
- Locus - 3 questions (15%)
- Tangent to Parabola has produced the most tough questions (1).
6.Is Parabola's weightage in KCET going up or down?
Across all 12 papers analysed, Parabola has averaged about 1.7 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.