JEE-MAIN SERIES Mathematics
Theory Of Equations
12 previous year questions.
Volume: 12 Ques
Yield: Medium
High-Yield Trend
9
2026 3
2021 Chapter Questions 12 MCQs
01
PYQ 2021
medium
mathematics ID: jee-main
The number of real roots of the equation is equal to ________.
02
PYQ 2021
medium
mathematics ID: jee-main
The number of real roots of the equation is :
1
1
2
2
3
4
4
6
03
PYQ 2021
medium
mathematics ID: jee-main
Let α, β, γ be the real roots of the equation, x³ + a x² + b x + c = 0, (a, b, c ∈ R and a, b ≠ 0). If the system of equations (in u, v, w) given by α u + β v + γ w = 0; β u + γ v + α w = 0; γ u + α v + β w = 0 has non-trivial solution, then the value of a²/b is :
1
0
2
1
3
3
4
5
04
PYQ 2026
medium
mathematics ID: jee-main
Let be the roots of the equation and be the roots of the equation ; . If are in G.P., then equals :
1
16
2
32
3
34
4
38
05
PYQ 2026
medium
mathematics ID: jee-main
Let a function satisfy
where . Find .
1
2
3
4
06
PYQ 2026
hard
mathematics ID: jee-main
Let be a function such that , , where . Then is equal to
1
18
2
9
3
4
36
07
PYQ 2026
medium
mathematics ID: jee-main
If satisfies the relation
then is equal to
08
PYQ 2026
hard
mathematics ID: jee-main
The number of real solutions of the equation: is
1
5
2
4
3
3
4
2
09
PYQ 2026
easy
mathematics ID: jee-main
The smallest positive integral value of , for which all the roots of are real and distinct, is equal to
1
3
2
9
3
7
4
4
10
PYQ 2026
medium
mathematics ID: jee-main
If the equation
has four real and distinct roots, then the least possible integral value of is
1
5
2
6
3
7
4
8
11
PYQ 2026
medium
mathematics ID: jee-main
If the equation
has four real and distinct roots, then the least possible integral value of is
12
PYQ 2026
medium
mathematics ID: jee-main
Let a function satisfy
where . Find .
About Theory Of Equations - JEE-MAIN
Theory Of Equations is a vital chapter for JEE-MAIN aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Theory Of Equations PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Theory Of Equations carry the most weight. Then, tackle the questions iteratively to solidify your understanding.