BITSAT SERIES Mathematics
Circles
21 previous year questions.
Volume: 21 Ques
Yield: High
High-Yield Trend
1
2025 2
2021 3
2020 2
2019 3
2018 1
2017 3
2016 1
2015 1
2014 1
2013 1
2012 1
2011 1
2010 Chapter Questions 21 MCQs
01
PYQ 2010
medium
mathematics ID: bitsat-2
Find the equation of chord of the circle xΒ²+yΒ²=8x bisected at the point (4,3).
1
y=3
2
y=1
3
y=6
4
y=7
02
PYQ 2011
medium
mathematics ID: bitsat-2
For what value of k do the circles xΒ²+yΒ²+5x+3y+7=0 and xΒ²+yΒ²-8x+6y+k=0 cut orthogonally?
1
16
2
β18
3
β13
4
β10
03
PYQ 2012
medium
mathematics ID: bitsat-2
If the line represents the common chord of the circles and , where , where A and B lie on the first circle and P and Q lie on the second circle, then is equal to:
1
2
3
4
04
PYQ 2013
medium
mathematics ID: bitsat-2
A pair of tangents are drawn from the origin to the circle , then the equation of the pair of tangent are
1
2
3
4
05
PYQ 2014
medium
mathematics ID: bitsat-2
The angle of intersection of the two circles
and is:
1
2
3
4
06
PYQ 2015
medium
mathematics ID: bitsat-2
Area of the circle in which a chord of length makes an angle at the centre is
1
sq units
2
sq units
3
sq units
4
sq units
07
PYQ 2016
medium
mathematics ID: bitsat-2
The lengths of the tangent drawn from any point on the circle
15xΒ²+15yΒ²-48x+64y=0 to the circles
5xΒ²+5yΒ²-24x+32y+75=0 and
5xΒ²+5yΒ²-48x+64y+300=0 are in the ratio
1
2
3
4
None
08
PYQ 2016
medium
mathematics ID: bitsat-2
The number of integral values of Ξ» for which
xΒ²+yΒ²+Ξ» x+(1-Ξ»)y+5=0
is the equation of a circle whose radius exceeds 5, is
1
14
2
18
3
16
4
None
09
PYQ 2016
medium
mathematics ID: bitsat-2
The length of the chord x+y=3 intercepted by the circle
xΒ²+yΒ²-2x-2y-2=0 is
1
2
3
4
(\sqrt7)/(2)
10
PYQ 2017
medium
mathematics ID: bitsat-2
An equilateral triangle is inscribed in the circle xΒ²+yΒ²=aΒ² with one of the vertices at (a,0). What is the equation of the side opposite to this vertex?
1
2
3
4
3x-2a=0
11
PYQ 2018
medium
mathematics ID: bitsat-2
The locus of the point of intersection of the lines
represents:
represents:
1
circle
2
parabola
3
ellipse
4
hyperbola
12
PYQ 2018
medium
mathematics ID: bitsat-2
Eccentricity of ellipse
if it passes through points and is:
if it passes through points and is:
1
2
3
4
β((6)/(7))
13
PYQ 2018
medium
mathematics ID: bitsat-2
The equation of the circle which passes through the point (4,5) and has its centre at (2,2) is:
1
2
3
4
(x-4)Β²+(y-5)Β²=13
14
PYQ 2019
medium
mathematics ID: bitsat-2
Area of the circle in which a chord of length β(2) makes an angle Ο/2 at the centre is
1
Ο/2 sq units
2
2Ο sq units
3
Ο sq units
4
Ο/4 sq units
15
PYQ 2019
medium
mathematics ID: bitsat-2
Let S be the common focus of the circle
xΒ²+yΒ²-2x-4y=0 and the parabola yΒ²=8x.
The area of quadrilateral APQS is
1
4 sq units
2
3 sq units
3
2 sq units
4
8 sq units
16
PYQ 2020
medium
mathematics ID: bitsat-2
The lengths of the tangents drawn from any point on the circle
15xΒ²+15yΒ²-48x+64y=0
to the circles
5xΒ²+5yΒ²-24x+32y+75=0 and 5xΒ²+5yΒ²-48x+64y+300=0
are in the ratio of
1
2
3
4
None
17
PYQ 2020
medium
mathematics ID: bitsat-2
The number of integral values of Ξ» for which
xΒ²+yΒ²+Ξ» x+(1-Ξ»)y+5=0
is the equation of a circle whose radius cannot exceed 5, is
1
2
3
4
None
18
PYQ 2020
medium
mathematics ID: bitsat-2
The length of the chord x+y=3 intercepted by the circle
xΒ²+yΒ²-2x-2y-2=0
is
1
2
3
4
dfracβ(7)2
19
PYQ 2021
medium
mathematics ID: bitsat-2
The equation of one of the common tangents to the parabola yΒ²=8x and the circle xΒ²+yΒ²=12x+4 is
1
y=-x+2
2
y=x-2
3
y=x+2
4
None of these
20
PYQ 2021
medium
mathematics ID: bitsat-2
An equilateral triangle is inscribed in the circle xΒ²+yΒ²=aΒ² with one of the vertices at (a,0). What is the equation of the side opposite to this vertex?
1
2x+a=0
2
x+a=0
3
2x-a=0
4
3x-2a=0
21
PYQ 2025
medium
mathematics ID: bitsat-2
What is the area of a circle with diameter 10 cm?
1
2
3
4
About Circles - BITSAT
Circles is a vital chapter for BITSAT aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Circles PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Circles carry the most weight. Then, tackle the questions iteratively to solidify your understanding.