Quadratic Equation and Inequalities PYQs - Last 5 Years
JEE Advanced / Mathematics / Algebra / 4 recent questions
MathematicsAlgebra2022-2026
Practice 4 JEE Advanced Mathematics questions from Quadratic Equation and Inequalities. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
4
PYQs on Page
Mathematics / Algebra
2022-2026
Year Range
Based on indexed question metadata
4
Last 5 Years
2022-2026
4
Last 10 Years
2017-2026
Recent Year Trend
2022
2024
2025
2026Latest year
20221 max PYQs/year2026
Question Types
4PYQs
INTEGER50%
MCQ25%
MCQM25%
Difficulty Mix
#1 Hard2
#2 Medium2
4 in last 5 years4 in last 10 years
Last 5 Years Quadratic Equation and Inequalities Questions
Showing 4 of 4 filtered questions.
1Quadratic Equation And Inequalities
Let a, b, c be positive integers in arithmetic progression such that the equation\(ax^2 + bx + c = 0\)has only integer solutions.Then which of the following statements is (are) TRUE?
MCQM+4 / -12026
2Quadratic Equation And Inequalities
Let $\mathbb{R}$ denote the set of all real numbers. Let $a_i, b_i \in \mathbb{R}$ for $i \in \{1, 2, 3\}$.
Define the functions $f: \mathbb{R} \to \mathbb{R}$, $g: \mathbb{R} \to \mathbb{R}$, and $h: \mathbb{R} \to \mathbb{R}$ by
$f(x) = a...
Define the functions $f: \mathbb{R} \to \mathbb{R}$, $g: \mathbb{R} \to \mathbb{R}$, and $h: \mathbb{R} \to \mathbb{R}$ by
$f(x) = a...
MCQ+3 / -12025
3Quadratic Equation And Inequalities
Let $a=3 \sqrt{2}$ and $b=\frac{1}{5^{1 / 6} \sqrt{6}}$. If $x, y \in \mathbb{R}$ are such that
$$ \begin{aligned} & 3 x+2 y=\log _a(18)^{\frac{5}{4}} \quad \text { and } \\ & 2 x-y=\log _b(\sqrt{1080}), \end{aligned} $$
then $4 x+5 y$ is...
$$ \begin{aligned} & 3 x+2 y=\log _a(18)^{\frac{5}{4}} \quad \text { and } \\ & 2 x-y=\log _b(\sqrt{1080}), \end{aligned} $$
then $4 x+5 y$ is...
INTEGER+4 / -02024
4Quadratic Equation And Inequalities
The product of all positive real values of $x$ satisfying the equation
\(x^{\left(16\left(\log _{5} x\right)^{3}-68 \log _{5} x\right)}=5^{-16}\)
is __________.
\(x^{\left(16\left(\log _{5} x\right)^{3}-68 \log _{5} x\right)}=5^{-16}\)
is __________.
INTEGER+3 / -12022