1

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 ____

2

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 ____

3

JEE Main 2021 (Online) 25th February Morning Shift

Numerical

+4

-1

If the system of equations

kx + y + 2z = 1

3x $$-$$ y $$-$$ 2z = 2

$$-$$2x $$-$$2y $$-$$4z = 3

has infinitely many solutions, then k is equal to __________.

kx + y + 2z = 1

3x $$-$$ y $$-$$ 2z = 2

$$-$$2x $$-$$2y $$-$$4z = 3

has infinitely many solutions, then k is equal to __________.

Your input ____

4

JEE Main 2021 (Online) 24th February Morning Shift

Numerical

+4

-1

Let P = $$\left[ {\matrix{
3 & { - 1} & { - 2} \cr
2 & 0 & \alpha \cr
3 & { - 5} & 0 \cr
} } \right]$$, where $$\alpha $$ $$ \in $$ R. Suppose Q = [ q

If q

_{ij}] is a matrix satisfying PQ = kl_{3}for some non-zero k $$ \in $$ R.If q

_{23}= $$ - {k \over 8}$$ and |Q| = $${{{k^2}} \over 2}$$, then a^{2}+ k^{2}is equal to ______.Your input ____

Questions Asked from Matrices and Determinants (Numerical)

Number in Brackets after Paper Indicates No. of Questions

JEE Main 2024 (Online) 9th April Evening Shift (1)
JEE Main 2024 (Online) 9th April Morning Shift (1)
JEE Main 2024 (Online) 8th April Morning Shift (1)
JEE Main 2024 (Online) 6th April Evening Shift (1)
JEE Main 2024 (Online) 4th April Evening Shift (1)
JEE Main 2024 (Online) 4th April Morning Shift (2)
JEE Main 2024 (Online) 1st February Evening Shift (1)
JEE Main 2024 (Online) 31st January Evening Shift (1)
JEE Main 2024 (Online) 29th January Evening Shift (1)
JEE Main 2024 (Online) 27th January Evening Shift (1)
JEE Main 2024 (Online) 27th January Morning Shift (1)
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