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Previous year question hub

Parabola - Coordinate Geometry - Mathematics Previous Year Questions

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

4Papers
4Years
6Questions
1Topics

Parabola question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 6 100%

Question type distribution

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

Multiple Choices 6 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
6 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
6 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Parabola
6 Qs

Paper coverage

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

BITSAT 2023
1 Qs
BITSAT 2022
3 Qs
BITSAT 2021
1 Qs
BITSAT 2020
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
BITSAT 202320231View paper
BITSAT 202220223View paper
BITSAT 202120211View paper
BITSAT 202020201View paper

All Parabola previous year questions

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

1
2020 · Mathematics · Coordinate Geometry · Parabola
BITSAT 2020

The distance of point of intersection of the tangents to the parabola x = 4y \(-\) y2 drawn at the points where it is meet by Y-axis, from its focus is

A
\({{11} \over 4}\)
B
\({{17} \over 4}\)
C
\({{13} \over 4}\)
D
3
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2
2021 · Mathematics · Coordinate Geometry · Parabola
BITSAT 2021

The origin is shifted to (1, 2). The equation y2 \(-\) 8x \(-\) 4y + 12 = 0 changes to y2 = 4ax, then a is equal to

A
1
B
2
C
\(-\)2
D
\(-\)1
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3
2022 · Mathematics · Coordinate Geometry · Parabola
BITSAT 2022

If the straight line \(y = mx + c\) touches the parabola \({y^2} - 4ax + 4{a^3} = 0\), then c is

A
\(am + {a \over m}\)
B
\(am - {a \over m}\)
C
\({a \over m} + {a^2}m\)
D
\({a \over m} - {a^2}m\)
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4
2022 · Mathematics · Coordinate Geometry · Parabola
BITSAT 2022

For each parabola y = x2 + px + q, meeting coordinate axes at 3-distinct points, if circles are drawn through these points, then the family of circles must pass through

A
(1, 0)
B
(0, 1)
C
(1, 1)
D
(p, q)
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5
2022 · Mathematics · Coordinate Geometry · Parabola
BITSAT 2022

A normal is drawn at the point P to the parabola \({y^2} = 8x\), which is inclined at 60\(^\circ\) with the straight line \(y = 8\). Then the point P lies on the straight line

A
\(2x + y - 12 - 4\sqrt 3 = 0\)
B
\(2x - y - 12 + 4\sqrt 3 = 0\)
C
\(2x - y - 12 - 4\sqrt 3 = 0\)
D
None of these
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6
2023 · Mathematics · Coordinate Geometry · Parabola
BITSAT 2023

If \(y=m_1 x+c_1\) and \(y=m_2 x+c_2, m_1 \neq m_2\) are two common tangents of circle \(x^2+y^2=2\) and parabola \(y^2=x\), then the value of \(8\left|m_1 m_2\right|\) is equal to

A
\(7+6 \sqrt{2}\)
B
\(3+4 \sqrt{2}\)
C
\(-5+6 \sqrt{2}\)
D
\(-4+3 \sqrt{2}\)
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