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Previous year question hub

Circle - Coordinate Geometry - Mathematics Previous Year Questions

Practice Circle - Coordinate Geometry - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

5Papers
5Years
9Questions
1Topics

Circle question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Circle. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 9 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 9 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
9 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
9 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Circle
9 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

BITSAT 2025
2 Qs
BITSAT 2024
2 Qs
BITSAT 2023
3 Qs
BITSAT 2022
1 Qs
BITSAT 2021
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
BITSAT 202520252View paper
BITSAT 202420242View paper
BITSAT 202320233View paper
BITSAT 202220221View paper
BITSAT 202120211View paper

All Circle previous year questions

Practice every matching question in batches of 20, with every available option.

1
2021 · Mathematics · Coordinate Geometry · Circle
BITSAT 2021

Equation of circle which passes through the points (1, \(-\)2) and (3, \(-\)4) and touch the X-axis is

A
x2 + y2 + 6x + 2y + 9 = 0
B
x2 + y2 + 10x + 20y + 25 = 0
C
x2 + y2 + 6x + 4y + 9 = 0
D
None of the above
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2
2022 · Mathematics · Coordinate Geometry · Circle
BITSAT 2022

The locus of the mid-point of the chord if contact of tangents drawn from points lying on the straight line \(4x - 5y = 20\) to the circle \({x^2} + {y^2} = 9\) is

A
\(20({x^2} + {y^2}) - 36x + 45y = 0\)
B
\(20({x^2} + {y^2}) + 36x - 45y = 0\)
C
\(36({x^2} + {y^2}) - 20x + 45y = 0\)
D
\(36({x^2} + {y^2}) + 20x - 45y = 0\)
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3
2023 · Mathematics · Coordinate Geometry · Circle
BITSAT 2023

If a tangent to the circle \(x^2+y^2=1\) intersect the co-ordinate axes at distinct points \(P\) and \(Q\), then the locus of the mid-point of \(P Q\) is

A
\(x^2+y^2-2 x y=0\)
B
\(x^2+y^2-2 x^2 y^2=0\)
C
\(x^2+y^2-4 x^2 y^2=0\)
D
\(x^2+y^2-16 x^2 y^2=0\)
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4
2023 · Mathematics · Coordinate Geometry · Circle
BITSAT 2023

A normal is drawn at the point \(P\) to the circle \(x^2+y^2=25\), which is inclined at \(45^{\circ}\) with the straight line \(y=6\). Then, the point lies on the straight line

A
\(y=x\)
B
\(y=-x\)
C
\(y=\sqrt{3} x\)
D
\(\sqrt{3} y=x\)
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5
2023 · Mathematics · Coordinate Geometry · Circle
BITSAT 2023

If the straight line \(y=m x+c\), touches the circle \(x^2+y^2=a^2\) at a point, then \(c^2\) is

A
\(m^2\left(1-a^2\right)\)
B
\(m^2\left(1+a^2\right)\)
C
\(a^2\left(1-m^2\right)\)
D
\(a^2\left(1+m^2\right)\)
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6
2024 · Mathematics · Coordinate Geometry · Circle
BITSAT 2024
The locus of the point of intersection of the lines $ x=a\left(\frac{1-t^{2}}{1+t^{2}}\right) $ and $ y=\frac{2 a t}{1+t^{2}} $ represent $ (t $ being a parameter)
A
Circle
B
Parabola
C
Ellipse
D
Hyperbola
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7
2024 · Mathematics · Coordinate Geometry · Circle
BITSAT 2024
The locus of the mid-point of a chord of the circle $ x^{2}+y^{2}=4 $, which subtends a right angle at the origin is
A
$x+y=2 $
B
$x^{2}+y^{2}=1 $
C
$x^{2}+y^{2}=2 $
D
$x+y=1 $
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8
2025 · Mathematics · Coordinate Geometry · Circle
BITSAT 2025

The locus of the middle points of chords of the circle $x^2+y^2=25$ which are parallel to the line $x-2 y+3=0$ is

A

$x+2 y=0$

B

$2 x+y=0$

C

$x-2 y=0$

D

$2 x-y=0$

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9
2025 · Mathematics · Coordinate Geometry · Circle
BITSAT 2025

What is the set of values of a for which the point ( $2 a, a+1$ ) is an interior point of the larger segment of the circle $x^2+y^2-2 x-2 y-8=0$ made by the chord $x-y+1=0$.

A

$\left(0, \frac{9}{5}\right)$

B

$(0, \infty)$

C

$\left(\frac{9}{5}, \infty\right)$

D

$(-\infty, 0)$

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