1

JEE Main 2021 (Online) 25th July Evening Shift

Numerical

+4

-1

The equation of a circle is Re(z

^{2}) + 2(Im(z))^{2}+ 2Re(z) = 0, where z = x + iy. A line which passes through the center of the given circle and the vertex of the parabola, x^{2}$$-$$ 6x $$-$$ y + 13 = 0, has y-intercept equal to ______________.Your input ____

2

JEE Main 2021 (Online) 25th July Morning Shift

Numerical

+4

-1

Let $$S = \left\{ {n \in N\left| {{{\left( {\matrix{
0 & i \cr
1 & 0 \cr
} } \right)}^n}\left( {\matrix{
a & b \cr
c & d \cr
} } \right) = \left( {\matrix{
a & b \cr
c & d \cr
} } \right)\forall a,b,c,d \in R} \right.} \right\}$$, where i = $$\sqrt { - 1} $$. Then the number of 2-digit numbers in the set S is _____________.

Your input ____

3

JEE Main 2021 (Online) 18th March Morning Shift

Numerical

+4

-1

Let z

_{1}, z_{2}be the roots of the equation z^{2}+ az + 12 = 0 and z_{1}, z_{2}form an equilateral triangle with origin. Then, the value of |a| isYour input ____

4

JEE Main 2021 (Online) 16th March Morning Shift

Numerical

+4

-1

Let z and $$\omega$$ be two complex numbers such that $$\omega = z\overline z - 2z + 2,\left| {{{z + i} \over {z - 3i}}} \right| = 1$$ and Re($$\omega$$) has minimum value. Then, the minimum value of n $$\in$$ N for which $$\omega$$

^{n}is real, is equal to ______________.Your input ____

Questions Asked from Complex Numbers (Numerical)

Number in Brackets after Paper Indicates
No. of Questions

JEE Main 2023 (Online) 30th January Morning Shift (1)
JEE Main 2023 (Online) 29th January Evening Shift (1)
JEE Main 2022 (Online) 28th July Evening Shift (1)
JEE Main 2022 (Online) 27th July Morning Shift (1)
JEE Main 2022 (Online) 29th June Morning Shift (1)
JEE Main 2022 (Online) 28th June Evening Shift (1)
JEE Main 2022 (Online) 28th June Morning Shift (1)
JEE Main 2022 (Online) 26th June Evening Shift (1)
JEE Main 2022 (Online) 24th June Evening Shift (1)
JEE Main 2021 (Online) 1st September Evening Shift (1)
JEE Main 2021 (Online) 31st August Morning 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) 18th March Morning Shift (1)
JEE Main 2021 (Online) 16th March Morning Shift (1)
JEE Main 2021 (Online) 26th February Evening Shift (1)
JEE Main 2021 (Online) 24th February Evening Shift (1)
JEE Main 2021 (Online) 24th February Morning Shift (1)
JEE Main 2020 (Online) 3rd September 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
Magnetics
Alternating Current and Electromagnetic Induction

Optics

Modern Physics

Chemistry

Physical Chemistry

Some Basic Concepts of Chemistry
Structure of Atom
Redox Reactions
Gaseous State
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
Quadratic Equation and Inequalities
Sequences and Series
Mathematical Induction and Binomial Theorem
Matrices and Determinants
Permutations and Combinations
Probability
Vector Algebra
3D Geometry
Complex Numbers
Statistics
Mathematical Reasoning

Trigonometry

Coordinate Geometry

Calculus