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Previous year question hub

Quadratic Equations - Algebra - Mathematics Previous Year Questions

Practice Quadratic Equations - Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

16Papers
15Years
43Questions
1Topics

Quadratic Equations question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 43 100%

Question type distribution

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

Multiple Choices 41 95.3%
Subjective 2 4.7%

Subject weightage

Top subjects by unique question coverage.

Mathematics
43 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
43 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Quadratic Equations
43 Qs

Paper coverage

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

VITEEE 2025
2 Qs
WB JEE 2025
2 Qs
WB JEE 2024
4 Qs
WB JEE 2023
1 Qs
WB JEE 2022
2 Qs
WB JEE 2021
1 Qs
WB JEE 2020
3 Qs
WB JEE 2019
1 Qs
WB JEE 2018
2 Qs
WB JEE 2017
5 Qs
WB JEE 2016
4 Qs
WB JEE 2012
1 Qs
WB JEE 2011
5 Qs
WB JEE 2010
3 Qs
WB JEE 2009
5 Qs
WB JEE 2008
2 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
VITEEE 202520252View paper
WB JEE 202520252View paper
WB JEE 202420244View paper
WB JEE 202320231View paper
WB JEE 202220222View paper
WB JEE 202120211View paper
WB JEE 202020203View paper
WB JEE 201920191View paper
WB JEE 201820182View paper
WB JEE 201720175View paper
WB JEE 201620164View paper
WB JEE 201220121View paper
WB JEE 201120115View paper
WB JEE 201020103View paper
WB JEE 200920095View paper
WB JEE 200820082View paper

All Quadratic Equations previous year questions

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

1
2016 · Mathematics · Algebra · Quadratic Equations
WB JEE 2016
If p, q are the roots of the equation x2 + px + q = 0, then
A
p = 1, q = \(-\) 2
B
p = 0, q = 1
C
p = \(-\) 2, q = 0
D
p = \(-\) 2, q = 1
Open complete paper
2
2016 · Mathematics · Algebra · Quadratic Equations
WB JEE 2016
The number of values of k, for which the equation x2 \(-\) 3x + k = 0 has two distinct roots lying in the interval (0, 1), are
A
three
B
two
C
infinitely many
D
no value of k satisfies the requirement
Open complete paper
3
2016 · Mathematics · Algebra · Quadratic Equations
WB JEE 2016
If the equation x2 + y2 \(-\) 10x + 21 = 0 has real roots x = \(\alpha\) and y = \(\beta\), then
A
3 \(\le\) x \(\le\) 7
B
3 \(\le\) y \(\le\) 7
C
\(-\)2 \(\le\) y \(\le\)2
D
\(-\)2 \(\le\) x \(\le\)2
Open complete paper
4
2016 · Mathematics · Algebra · Quadratic Equations
WB JEE 2016
If \(\alpha\) and \(\beta\) are roots of ax2 + bx + c = 0, then the equation whose roots are \(\alpha\)2 and \(\beta\)2, is
A
a2x2 \(-\) (b2 \(-\) 2ac) x + c2 = 0
B
a2x2 + (b2 \(-\) ac) x + c2 = 0
C
a2x2 + (b2 + ac) x + c2 = 0
D
a2x2 + (b2 + 2ac) x + c2 = 0
Open complete paper
5
2017 · Mathematics · Algebra · Quadratic Equations
WB JEE 2017
If a, b\(\in\) {1, 2, 3} and the equation ax2 + bx + 1 = 0 has real roots, then
A
a > b
B
a \(\le\) b
C
number of possible ordered pairs (a, b) is 3
D
a < b
Open complete paper
6
2017 · Mathematics · Algebra · Quadratic Equations
WB JEE 2017
Let \(\alpha\) and \(\beta\) be the roots of \({x^2} + x + 1 = 0\). If n be a positive integer, then \(\alpha\)n + \(\beta\)n is
A
\(2\cos {{2n\pi } \over 3}\)
B
\(2\sin {{2n\pi } \over 3}\)
C
\(2\cos {{n\pi } \over 3}\)
D
\(2\sin {{n\pi } \over 3}\)
Open complete paper
7
2017 · Mathematics · Algebra · Quadratic Equations
WB JEE 2017
If p, q are odd integers, then the roots of the equation \(2p{x^2} + (2p + q)x + q = 0\) are
A
rational
B
irrational
C
non-real
D
equal
Open complete paper
8
2017 · Mathematics · Algebra · Quadratic Equations
WB JEE 2017
The greatest integer which divides \((p + 1)(p + 2)(p + 3)...(p + q)\) for all \(p \in N\) and fixed \(q \in N\) is
A
p!
B
q!
C
p
D
q
Open complete paper
9
2017 · Mathematics · Algebra · Quadratic Equations
WB JEE 2017
For real x, the greatest value of \({{{x^2} + 2x + 4} \over {2{x^2} + 4x + 9}}\) is
A
1
B
\(-\) 1
C
\({1 \over 2}\)
D
\({1 \over 4}\)
Open complete paper
10
2018 · Mathematics · Algebra · Quadratic Equations
WB JEE 2018
If the equation \({x^2} - cx + d = 0\) has roots equal to the fourth powers of the roots of \({x^2} + ax + b = 0\), where \({a^2} > 4b\), then the roots of \({x^2} - 4bx + 2{b^2} - c = 0\) will be
A
both real
B
both negative
C
both positive
D
one positive and one negative
Open complete paper
11
2018 · Mathematics · Algebra · Quadratic Equations
WB JEE 2018
If \({b_1}{b_2} = 2({c_1} + {c_2})\) and b1, b2, c1, c2 are all real numbers, then at least one of the equations \({x^2} + {b_1}x + {c_1} = 0\) and \({x^2} + {b_2}x + {c_2} = 0\) has
A
real roots
B
purely imaginary roots
C
roots of the form a + ib (a, b\(\in\)R, ab \(\ne\) 0)
D
rational roots
Open complete paper
12
2019 · Mathematics · Algebra · Quadratic Equations
WB JEE 2019
Let a, b, c be real numbers such that a + b + c < 0 and the quadratic equation ax2 + bx + c = 0 has imaginary roots. Then,
A
a > 0, c > 0
B
a > 0, c < 0
C
a < 0, c > 0
D
a < 0, c < 0
Open complete paper
13
2020 · Mathematics · Algebra · Quadratic Equations
WB JEE 2020
Let z1 and z2 be two imaginary roots of z2 + pz + q = 0, where p and q are real. The points z1, z2 and origin form an equilateral triangle if
A
p2 > 3q
B
p2 < 3q
C
p2 = 3q
D
p2 = q
Open complete paper
14
2020 · Mathematics · Algebra · Quadratic Equations
WB JEE 2020
The expression ax2 + bx + c (a, b and c are real) has the same sign as that of a for all x if
A
b2 \(-\) 4ac > 0
B
b2 \(-\) 4ac \(\ne\) 0
C
b2 \(-\) 4ac \(\le\) 0
D
b and c have the same sign as that of a
Open complete paper
15
2020 · Mathematics · Algebra · Quadratic Equations
WB JEE 2020
If P(x) = ax2 + bx + c and Q(x) = \(-\)ax2 + dx + c, where ac \(\ne\) 0 [a, b, c, d are all real], then P(x).Q(x) = 0 has
A
at least two real roots
B
two real roots
C
four real roots
D
no real root
Open complete paper
16
2021 · Mathematics · Algebra · Quadratic Equations
WB JEE 2021
Let \(\alpha\), \(\beta\) be the roots of the equation x2 \(-\) 6x \(-\) 2 = 0 with \(\alpha\) > \(\beta\). If an = \(\alpha\)n \(-\) \(\beta\)n for n \(\ge\) 1, then the value of \({{{a_{10}} - 2{a_8}} \over {2{a_9}}}\) is
A
1
B
2
C
3
D
4
Open complete paper
17
2022 · Mathematics · Algebra · Quadratic Equations
WB JEE 2022

The value of a for which the sum of the squares of the roots of the equation \({x^2} - (a - 2)x - a - 1 = 0\) assumes the least value is

A
0
B
1
C
2
D
3
Open complete paper
18
2022 · Mathematics · Algebra · Quadratic Equations
WB JEE 2022

If a, b are odd integers, then the roots of the equation \(2a{x^2} + (2a + b)x + b = 0\), \(a \ne 0\) are

A
rational
B
irrational
C
non-real
D
equal
Open complete paper
19
2023 · Mathematics · Algebra · Quadratic Equations
WB JEE 2023

If one root of \({x^2} + px - {q^2} = 0,p\) and \(q\) are real, be less than 2 and other be greater than 2, then

A
\(4 + 2p + {q^2} > 0\)
B
\(4 + 2p + {q^2} < 0\)
C
\(4 + 2p - {q^2} > 0\)
D
\(4 + 2p - {q^2} < 0\)
Open complete paper
20
2024 · Mathematics · Algebra · Quadratic Equations
WB JEE 2024

If the quadratic equation \(a x^2+b x+c=0(a>0)\) has two roots \(\alpha\) and \(\beta\) such that \(\alpha<-2\) and \(\beta>2\), then

A
\(c<0\)
B
\(\mathrm{a}+\mathrm{b}+\mathrm{c}>0\)
C
\(a - b + c<0\)
D
\(\mathrm{a}-\mathrm{b}+\mathrm{c}>0\)
Open complete paper

Showing 20 of 43 questions