1
JEE Main 2023 (Online) 30th January Evening Shift
Numerical
+4
-1
If the value of real number $a>0$ for which $x^2-5 a x+1=0$ and $x^2-a x-5=0$
have a common real root is $\frac{3}{\sqrt{2 \beta}}$ then $\beta$ is equal to ___________.
have a common real root is $\frac{3}{\sqrt{2 \beta}}$ then $\beta$ is equal to ___________.
Your input ____
2
JEE Main 2023 (Online) 29th January Evening Shift
Numerical
+4
-1
Let $$\alpha_1,\alpha_2,....,\alpha_7$$ be the roots of the equation $${x^7} + 3{x^5} - 13{x^3} - 15x = 0$$ and $$|{\alpha _1}| \ge |{\alpha _2}| \ge \,...\, \ge \,|{\alpha _7}|$$. Then $$\alpha_1\alpha_2-\alpha_3\alpha_4+\alpha_5\alpha_6$$ is equal to _________.
Your input ____
3
JEE Main 2023 (Online) 25th January Evening Shift
Numerical
+4
-1
Let $$\alpha \in\mathbb{R}$$ and let $$\alpha,\beta$$ be the roots of the equation $${x^2} + {60^{{1 \over 4}}}x + a = 0$$. If $${\alpha ^4} + {\beta ^4} = - 30$$, then the product of all possible values of $$a$$ is ____________.
Your input ____
4
JEE Main 2023 (Online) 24th January Morning Shift
Numerical
+4
-1
Let $$\lambda \in \mathbb{R}$$ and let the equation E be $$|x{|^2} - 2|x| + |\lambda - 3| = 0$$. Then the largest element in the set S = {$$x+\lambda:x$$ is an integer solution of E} is ______
Your input ____
Questions Asked from Quadratic Equation and Inequalities (Numerical)
Number in Brackets after Paper Indicates No. of Questions
JEE Main 2023 (Online) 13th April Evening Shift (1)
JEE Main 2023 (Online) 11th April Evening Shift (1)
JEE Main 2023 (Online) 11th April Morning Shift (1)
JEE Main 2023 (Online) 8th April Evening Shift (1)
JEE Main 2023 (Online) 30th January Evening Shift (1)
JEE Main 2023 (Online) 29th January Evening Shift (1)
JEE Main 2023 (Online) 25th January Evening Shift (1)
JEE Main 2023 (Online) 24th January Morning Shift (1)
JEE Main 2022 (Online) 29th July Evening Shift (1)
JEE Main 2022 (Online) 28th July Morning Shift (1)
JEE Main 2022 (Online) 26th July Morning Shift (2)
JEE Main 2022 (Online) 28th June Morning Shift (1)
JEE Main 2022 (Online) 27th June Evening Shift (1)
JEE Main 2022 (Online) 27th June Morning Shift (1)
JEE Main 2022 (Online) 26th June Evening Shift (1)
JEE Main 2022 (Online) 26th June Morning Shift (1)
JEE Main 2021 (Online) 1st September Evening Shift (1)
JEE Main 2021 (Online) 26th August Evening Shift (1)
JEE Main 2021 (Online) 26th August Morning Shift (1)
JEE Main 2021 (Online) 27th July Evening Shift (1)
JEE Main 2021 (Online) 25th July Evening Shift (1)
JEE Main 2021 (Online) 25th July Morning Shift (1)
JEE Main 2021 (Online) 26th February Evening Shift (1)
JEE Main 2021 (Online) 26th February Morning Shift (1)
JEE Main 2021 (Online) 24th February Evening Shift (1)
JEE Main 2020 (Online) 8th January Morning Slot (1)
JEE Main Subjects
Physics
Mechanics
Units & Measurements
Vector Algebra
Motion
Circular Motion
Laws of Motion
Work Power & Energy
Center of Mass and Collision
Rotational Motion
Properties of Matter
Heat and Thermodynamics
Simple Harmonic Motion
Waves
Gravitation
Electricity
Electrostatics
Current Electricity
Capacitor
Magnetic Effect of Current
Magnetic Properties of Matter
Electromagnetic Induction
Alternating Current
Electromagnetic Waves
Optics
Modern Physics
Chemistry
Physical Chemistry
Some Basic Concepts of Chemistry
Structure of Atom
Redox Reactions
Gaseous State
Chemical Equilibrium
Ionic Equilibrium
Solutions
Thermodynamics
Electrochemistry
Chemical Kinetics and Nuclear Chemistry
Solid State
Surface Chemistry
Inorganic Chemistry
Periodic Table & Periodicity
Chemical Bonding & Molecular Structure
Isolation of Elements
Hydrogen
s-Block Elements
p-Block Elements
d and f Block Elements
Coordination Compounds
Environmental Chemistry
Organic Chemistry
Mathematics
Algebra
Sets and Relations
Logarithm
Quadratic Equation and Inequalities
Sequences and Series
Mathematical Induction
Binomial Theorem
Matrices and Determinants
Permutations and Combinations
Probability
Vector Algebra
3D Geometry
Complex Numbers
Statistics
Mathematical Reasoning
Trigonometry
Trigonometric Ratio and Identites
Trigonometric Equations
Inverse Trigonometric Functions
Properties of Triangle
Height and Distance
Coordinate Geometry
Calculus