1

JEE Main 2021 (Online) 16th March Morning Shift

Numerical

+4

-1

The total number of 3 $$\times$$ 3 matrices A having entries from the set {0, 1, 2, 3} such that the sum of all the diagonal entries of AA

^{T}is 9, is equal to _____________.Your input ____

2

JEE Main 2021 (Online) 26th February Evening Shift

Numerical

+4

-1

If the matrix $$A = \left[ {\matrix{
1 & 0 & 0 \cr
0 & 2 & 0 \cr
3 & 0 & { - 1} \cr
} } \right]$$ satisfies the equation

$${A^{20}} + \alpha {A^{19}} + \beta A = \left[ {\matrix{ 1 & 0 & 0 \cr 0 & 4 & 0 \cr 0 & 0 & 1 \cr } } \right]$$ for some real numbers $$\alpha$$ and $$\beta$$, then $$\beta$$ $$-$$ $$\alpha$$ is equal to ___________.

$${A^{20}} + \alpha {A^{19}} + \beta A = \left[ {\matrix{ 1 & 0 & 0 \cr 0 & 4 & 0 \cr 0 & 0 & 1 \cr } } \right]$$ for some real numbers $$\alpha$$ and $$\beta$$, then $$\beta$$ $$-$$ $$\alpha$$ is equal to ___________.

Your input ____

3

JEE Main 2021 (Online) 25th February Morning Shift

Numerical

+4

-1

If $$A = \left[ {\matrix{
0 & { - \tan \left( {{\theta \over 2}} \right)} \cr
{\tan \left( {{\theta \over 2}} \right)} & 0 \cr
} } \right]$$ and

$$({I_2} + A){({I_2} - A)^{ - 1}} = \left[ {\matrix{ a & { - b} \cr b & a \cr } } \right]$$, then $$13({a^2} + {b^2})$$ is equal to

$$({I_2} + A){({I_2} - A)^{ - 1}} = \left[ {\matrix{ a & { - b} \cr b & a \cr } } \right]$$, then $$13({a^2} + {b^2})$$ is equal to

Your input ____

4

JEE Main 2021 (Online) 25th February Morning Shift

Numerical

+4

-1

Out of Syllabus

Let $$A = \left[ {\matrix{
x & y & z \cr
y & z & x \cr
z & x & y \cr
} } \right]$$, where x, y and z are real numbers such that x + y + z > 0 and xyz = 2. If $${A^2} = {I_3}$$, then the value of $${x^3} + {y^3} + {z^3}$$ is ____________.

Your input ____

Questions Asked from Matrices and Determinants (Numerical)

Number in Brackets after Paper Indicates No. of Questions

JEE Main 2023 (Online) 12th April Morning Shift (1)
JEE Main 2023 (Online) 11th April Morning Shift (1)
JEE Main 2023 (Online) 10th April Evening Shift (1)
JEE Main 2023 (Online) 31st January Evening Shift (1)
JEE Main 2023 (Online) 29th January Evening Shift (1)
JEE Main 2023 (Online) 25th January Morning Shift (1)
JEE Main 2022 (Online) 29th July Evening Shift (1)
JEE Main 2022 (Online) 29th July Morning Shift (1)
JEE Main 2022 (Online) 28th July Morning Shift (1)
JEE Main 2022 (Online) 27th July Evening Shift (1)
JEE Main 2022 (Online) 27th July Morning Shift (1)
JEE Main 2022 (Online) 26th July Evening Shift (1)
JEE Main 2022 (Online) 25th July Evening Shift (1)
JEE Main 2022 (Online) 25th July Morning Shift (1)
JEE Main 2022 (Online) 29th June Evening Shift (1)
JEE Main 2022 (Online) 28th June Evening Shift (2)
JEE Main 2022 (Online) 27th June Morning Shift (1)
JEE Main 2022 (Online) 26th June Evening Shift (1)
JEE Main 2022 (Online) 25th June Evening Shift (1)
JEE Main 2022 (Online) 24th June Evening Shift (1)
JEE Main 2021 (Online) 31st August Evening Shift (1)
JEE Main 2021 (Online) 27th August Morning Shift (1)
JEE Main 2021 (Online) 26th August Evening Shift (1)
JEE Main 2021 (Online) 27th July Evening Shift (1)
JEE Main 2021 (Online) 27th July Morning Shift (2)
JEE Main 2021 (Online) 25th July Morning Shift (1)
JEE Main 2021 (Online) 22th July Evening Shift (1)
JEE Main 2021 (Online) 20th July Evening Shift (1)
JEE Main 2021 (Online) 20th July Morning Shift (2)
JEE Main 2021 (Online) 18th March Evening Shift (1)
JEE Main 2021 (Online) 17th March Evening Shift (2)
JEE Main 2021 (Online) 17th March Morning Shift (1)
JEE Main 2021 (Online) 16th March Evening Shift (1)
JEE Main 2021 (Online) 16th March Morning Shift (2)
JEE Main 2021 (Online) 26th February Evening Shift (1)
JEE Main 2021 (Online) 25th February Morning Shift (3)
JEE Main 2021 (Online) 24th February Morning Shift (2)
JEE Main 2020 (Online) 6th September Evening Slot (1)
JEE Main 2020 (Online) 4th September Morning Slot (1)
JEE Main 2020 (Online) 3rd September Evening Slot (1)
JEE Main 2020 (Online) 3rd September Morning Slot (1)
JEE Main 2020 (Online) 8th January Morning Slot (1)
JEE Main 2020 (Online) 7th January Evening 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