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Previous year question hub

Ellipse - Coordinate Geometry - Mathematics Previous Year Questions

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

3Papers
3Years
4Questions
1Topics

Ellipse question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 4 100%

Question type distribution

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

Multiple Choices 4 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
4 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
4 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Ellipse
4 Qs

Paper coverage

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

VITEEE 2024
1 Qs
VITEEE 2022
1 Qs
VITEEE 2021
2 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
VITEEE 202420241View paper
VITEEE 202220221View paper
VITEEE 202120212View paper

All Ellipse previous year questions

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

1
2021 · Mathematics · Coordinate Geometry · Ellipse
VITEEE 2021

The focal distance of the point \((x, y)\) from the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a>b\) is

A
\(a \pm \sqrt{1-\frac{b^2}{a^2}} y\)
B
\(b \pm \sqrt{1-\frac{a^2}{b^2}} y\)
C
\(a \pm \sqrt{1-\frac{b^2}{a^2}} x\)
D
\(b \pm \sqrt{1-\frac{a^2}{b^2}} x\)
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2
2021 · Mathematics · Coordinate Geometry · Ellipse
VITEEE 2021

The eccentricity of the ellipse \(25 x^2+9 y^2-150 x-90 y+225=0\) is

A
\(\frac{4}{5}\)
B
\(\frac{3}{5}\)
C
\(\frac{4}{15}\)
D
\(\frac{9}{5}\)
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3
2022 · Mathematics · Coordinate Geometry · Ellipse
VITEEE 2022

If a man running around a race-course notes that the sum of the distances of two flag-posts from him is always \(10 \mathrm{~m}\) and the distance between the flag-posts is \(8 \mathrm{~m}\), then the area of the path he encloses in square metres is

A
12\(\pi\)
B
13\(\pi\)
C
14\(\pi\)
D
15\(\pi\)
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4
2024 · Mathematics · Coordinate Geometry · Ellipse
VITEEE 2024

Consider the ellipse $\frac{x^2}{\cos ^2 \alpha}+\frac{y^2}{\sin ^2 \alpha}=1$, where $\alpha \in\left(0, \frac{\pi}{4}\right)$. Then, locus of point of intersection of one of the directrix and tangent at upper end of minor axis is

A
$x \sqrt{1-y^2}=\left(1-2 y^2\right)$
B
$x \sqrt{1-2 y^2}=\left(1-y^2\right)^2$
C
$x^2\left(1-y^2\right)=\left(1-2 y^2\right)$
D
$x^2\left(1-2 y^2\right)=\left(1-y^2\right)^2$
Open complete paper