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Previous year question hub

Coordinate Geometry - Mathematics Previous Year Questions

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

5Papers
5Years
7Questions
1Topics

Coordinate Geometry question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 7 100%

Question type distribution

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

Multiple Choices 7 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
7 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
7 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Straight Lines And Pair Of Straight Lines
3 Qs
Circle
3 Qs
Ellipse
1 Qs

Paper coverage

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

IAT IISER 2025
1 Qs
IAT IISER 2024
2 Qs
IAT IISER 2023
1 Qs
IAT IISER 2022
1 Qs
IAT IISER 2020
2 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
IAT IISER 202520251View paper
IAT IISER 202420242View paper
IAT IISER 202320231View paper
IAT IISER 202220221View paper
IAT IISER 202020202View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2020 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IAT IISER 2020
Let $S=\{(a, b): a, b \in Q\}$ and $\ell$ be the line $y=m x+c$. Which of the following statements is not correct?
A
If $\ell$ passes through two points of $S$, then $m$ must be rational.
B
If $m$ is rational and $c$ is irrational, then $\ell$ passes through at least one point of $S$.
C
If $\ell$ passes through exactly one point of $S$, then $m$ must be irrational.
D
If $m$ is irrational and $c$ is rational, then $\ell$ passes through exactly one point of $S$.
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2
2022 · Mathematics · Coordinate Geometry · Circle
IAT IISER 2022
Consider the tangent lines to the circle $x^2+y^2=1$ at points $P=(1,0)$ and $Q=\left(\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)$. If $R$ is the point of intersection of these two tangent lines, then $\angle P R Q$ is:
A
$\frac{\pi}{4}$
B
$\frac{3 \pi}{4}$
C
$\frac{5 \pi}{6}$
D
$\frac{\pi}{6}$
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3
2023 · Mathematics · Coordinate Geometry · Circle
IAT IISER 2023
What is the locus of the center of circles passing through the origin $(0,0)$ with fixed radius?
A
Line
B
Hyperbola
C
Parabola
D
Circle
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4
2024 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IAT IISER 2024
Let $A$ be the set of points in the $X Y$-plane which are equidistant from $P(-1,0)$ and $Q(1,0)$. Let $B$ be the set of points in the $X Y$-plane which are equidistant from $A$ and $Q$. If $(5, y)$ is a point in $B$, then what is the value of $y^2$ ?
A
1
B
4
C
9
D
16
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5
2025 · Mathematics · Coordinate Geometry · Ellipse
IAT IISER 2025

Let $\ell$ be the tangent line to the ellipse $x^2+16 y^2=4$ at $\left(1, \frac{\sqrt{3}}{4}\right)$. What is the equation of the line perpendicular to $\ell$ passing through $(2,0)$ ?

A

$y=4 \sqrt{3}(x-2)$

B

$y=2 \sqrt{3}(x-2)$

C

$y=\sqrt{3}(x-2)$

D

$4 \sqrt{3} y=(x-2)$

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6
2020 · Mathematics · Coordinate Geometry · Circle
IAT IISER 2020

Let $C$ be a circle which passes through $(-2,1)$ and $(0,3)$ and whose centre lies on the line $y-x=1$. Then which of the following points lies on $C$ ?

A
$(\sqrt{2}+1,1)$
B
$(1, \sqrt{2}+1)$
C
$(1, \sqrt{3}+1)$
D
$(1, \sqrt{3}-1)$
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