1

JEE Main 2023 (Online) 15th April Morning Shift

Numerical

+4

-1

If the area bounded by the curve $2 y^{2}=3 x$, lines $x+y=3, y=0$ and outside the circle $(x-3)^{2}+y^{2}=2$ is $\mathrm{A}$, then $4(\pi+4 A)$ is equal to ____________.

Your input ____

2

JEE Main 2023 (Online) 11th April Evening Shift

Numerical

+4

-1

If A is the area in the first quadrant enclosed by the curve $$\mathrm{C: 2 x^{2}-y+1=0}$$, the tangent to $$\mathrm{C}$$ at the point $$(1,3)$$ and the line $$\mathrm{x}+\mathrm{y}=1$$, then the value of $$60 \mathrm{~A}$$ is _________.

Your input ____

3

JEE Main 2023 (Online) 10th April Evening Shift

Numerical

+4

-1

If the area of the region $$\left\{(x, \mathrm{y}):\left|x^{2}-2\right| \leq y \leq x\right\}$$ is $$\mathrm{A}$$, then $$6 \mathrm{A}+16 \sqrt{2}$$ is equal to __________.

Your input ____

4

JEE Main 2023 (Online) 10th April Morning Shift

Numerical

+4

-1

Let $$y = p(x)$$ be the parabola passing through the points $$( - 1,0),(0,1)$$ and $$(1,0)$$. If the area of the region $$\{ (x,y):{(x + 1)^2} + {(y - 1)^2} \le 1,y \le p(x)\} $$ is A, then $$12(\pi - 4A)$$ is equal to ___________.

Your input ____

Questions Asked from Area Under The Curves (Numerical)

Number in Brackets after Paper Indicates No. of Questions

JEE Main 2023 (Online) 15th April Morning Shift (1)
JEE Main 2023 (Online) 11th April Evening Shift (1)
JEE Main 2023 (Online) 10th April Evening Shift (1)
JEE Main 2023 (Online) 10th April Morning Shift (1)
JEE Main 2023 (Online) 8th April Evening Shift (1)
JEE Main 2023 (Online) 6th April Morning Shift (1)
JEE Main 2023 (Online) 1st February Morning Shift (1)
JEE Main 2023 (Online) 31st January Evening Shift (1)
JEE Main 2023 (Online) 31st January Morning Shift (1)
JEE Main 2023 (Online) 30th January Evening Shift (1)
JEE Main 2023 (Online) 30th January Morning Shift (1)
JEE Main 2023 (Online) 25th January Morning Shift (1)
JEE Main 2023 (Online) 24th January Evening Shift (1)
JEE Main 2022 (Online) 25th July Evening Shift (1)
JEE Main 2022 (Online) 30th June Morning Shift (1)
JEE Main 2022 (Online) 29th June Evening Shift (1)
JEE Main 2022 (Online) 27th June Evening Shift (1)
JEE Main 2022 (Online) 27th June Morning Shift (1)
JEE Main 2022 (Online) 24th June Evening Shift (1)
JEE Main 2022 (Online) 24th June Morning Shift (1)
JEE Main 2021 (Online) 31st August 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) 22th July Evening Shift (1)
JEE Main 2021 (Online) 20th July Morning Shift (1)
JEE Main 2021 (Online) 17th March Evening Shift (1)
JEE Main 2021 (Online) 26th February Morning Shift (1)
JEE Main 2021 (Online) 25th February Morning Shift (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