Mathematics - Circle
Practise 27 BITSAT previous year questions on Circle, 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.
Circle has been asked in 15 of the 16 years of BITSAT papers analysed (2009–2024), with 27 questions in all. 26% of them were easy, 59% moderate and 15% tough. Most of its questions came from 2016, with 4 questions that year. In the last three years (2022–2024) it had 7 questions across 6 papers, about 1.2 per paper.
The chapter's 11 topics are not weighted equally: Equation of Circle & its intercept (7 questions, 26%), Locus (4 questions, 15%), and Tangent to circle (4 questions, 15%) have been asked the most. Equation of Circle & its intercept has also led over the last five years, with 4 questions. Chord with given Middle Point has produced the most tough questions (1).
- 1From a point on the circle , a chord is drawn and it is extended to a point such that . Then the locus of is2024 (Memory Based Paper 1)Locus
- 2If p and q be the longest and the shortest distance respectively of the point from any point on the curve whose equation is , then G.M. of p2024 (Memory Based Paper 2)Distance of a point from any point on the circle
- 3The locus of the mid-point of a chord of the circle , which subtends a right angle at the origin is2024 (Memory Based Paper 3)Locus
- 4A circle touches both the -axis and the line . Then the locus of its center is2023 (Memory Based Paper 1)Equation of Circle & its intercept
- 5The equation of the circle with centre and radius 2 is . The value of is2023 (Memory Based Paper 2)General Equation of 2nd degree curve
- 6For each parabola , meeting coordinate axes at 3-distinct points, if circles are drawn through these points, then the family of circles must2022Family of Circle
- 7The locus of the mid-point of the chord if contact of tangents drawn from points lying on the straight line to the circle is2022Chord with given Middle Point
- 8The equation of the circle, which touches the line and passes through and is2021Equation of Circle & its intercept
- 9If a chord of the circle makes equal intercets of length a on the coordinate axes, then2020line and circle
- 10In the given figure, the equation of the larger circle is and the distance between centres is 4 . Then the equation of smaller circle is2020Equation of Circle & its intercept
- 11If the coordinates at one end of a diameter of the circle are (-3,2) , then the coordinates at the other end are2020Equation of Circle & its intercept
- 12The area of the triangle formed by joining the origin to the point of intersection of the line x 5 + 2 y = 3 5 and circle x 2 + y 2 = 10 is2018Equation of Circle & its intercept
- 13Radius of the largest circle which passes through the focus of the parabola y 2 = 4 x and contained in it, is2018Locus
- 14If two distinct chords drawn from the point ( p , q ) on the circle x 2 + y 2 = p x + q y (where p q 0 ) are bisected by the X -axis, then2017Common Chord
- 15The line joining (5,0) to is divided internally in the ratio 2: 3 at . If varies, then the locus of is2016Locus
- 16The number of integral values of for which is the equation of a ircle whose radius cannot exceed is2016Equation of Circle & its intercept
- 17The lengths of the tangent drawn from any point on the circle to the two circles and are in the ratio of2016Tangent to circle
- 18The length of the chord intercepted by the circle is2016Chord with given Middle Point
- 19Area of the circle in which a chord of length makes an angle at the centre, is2015Equation of Circle & its intercept
- 20The angle of intersection of the two circles and is2014Intersection of Circles
- 21A pair of tangents are drawn from the origin to the circle then the equation of the pair of tangent are2013Pair of Tangents
- 22The length of the tangent drawn from any point on the circle to the circle where is2012Tangent to circle
- 23If the line represents the common chord of the circles and where and lie ont he first circle and and lie on the second circle, then AP is eq2012Common Chord
- 24For what value of \(k\) the circles \(x^2+y^2+5 x+3 y+7=0\) and \(x^2+y^2-8 x+6 y+k=0\) cuts orthogonally2011Intersection of Circles
- 25If the lines \(3 x-4 y+4=0\) and \(6 x-8 y-7=0\) are tangents to a circle, then the radius of the circle is2011Tangent to circle
- 26The line \(a x+b y=1\) cuts ellipse \(c x^2+d y^2=1\) only once if2010Chord with given Middle Point
- 27If \(|r| > \) land \(x=a+ {a}{r}+ {a}{r^2}+ \) to \( \), \( {y}= {b}- { {b}}{ {r}}+ { {b}}{ {r}^2}- . { to } \) and \(z=c+ {c}{r^2}+ {c}{r^42009Tangent to circle
Frequently Asked Questions
1.How many questions are available for Circle?
This chapter includes 27 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 Circle chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Circle an important chapter for BITSAT Mathematics?
Circle has appeared in 15 of the 16 years of BITSAT papers covered here, with 27 questions across 18 papers - about 2 per paper it appears in.
4.What is the difficulty level of Circle questions in BITSAT?
Of the 27 questions analysed for this chapter, 26% are easy, 59% moderate and 15% tough. 2016 had the most, with 4 questions.
5.Which topics in Circle should I focus on?
These topics have carried the most weightage in Circle:
- Equation of Circle & its intercept - 7 questions (26%)
- Locus - 4 questions (15%)
- Tangent to circle - 4 questions (15%)
- Chord with given Middle Point has produced the most tough questions (1).
6.Is Circle's weightage in BITSAT going up or down?
Across all 18 papers analysed, Circle has averaged about 1.5 questions per paper. In the last three years (2022–2024), that average has fallen, 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.