Joint Entrance Examination

JEE Main

Chemistry Physics Mathematics

JEE Advanced

Physics Chemistry Mathematics

WB JEE

Physics Chemistry Mathematics
Graduate Aptitude Test in Engineering

GATE CSE

Discrete Mathematics Programming Languages Theory of Computation Operating Systems Digital Logic Computer Organization Database Management System Data Structures Computer Networks Algorithms Compiler Design Software Engineering Web Technologies General Aptitude

GATE ECE

Signals and Systems Network Theory Control Systems Digital Circuits General Aptitude Electronic Devices and VLSI Analog Circuits Engineering Mathematics Microprocessors Communications Electromagnetics

GATE EE

Electromagnetic Fields Signals and Systems Engineering Mathematics General Aptitude Power Electronics Power System Analysis Analog Electronics Control Systems Digital Electronics Electrical Machines Electric Circuits Electrical and Electronics Measurement

GATE ME

Engineering Mechanics Strength of Materials Theory of Machines Engineering Mathematics Machine Design Fluid Mechanics Turbo Machinery Heat Transfer Thermodynamics Production Engineering Industrial Engineering General Aptitude

GATE CE

Engineering Mechanics Strength of Materials Or Solid Mechanics Structural Analysis Construction Material and Management Reinforced Cement Concrete Steel Structures Geotechnical Engineering Fluid Mechanics and Hydraulic Machines Hydrology Irrigation Geomatics Engineering Or Surveying Environmental Engineering Transportation Engineering Engineering Mathematics General Aptitude

GATE PI

Fluid Mechanics Metrology Theory of Machines Engineering Mathematics Heat Transfer Machine Tools and Machining Industrial Engineering Engineering Mechanics Strength of Materials Thermodynamics Machine Design Casting Joining of Materials Metal Forming

GATE IN

Engineering Mathematics
Medical

NEET

Biology Chemistry Physics
1

IIT-JEE 1982

Fill in the Blanks
The sum of the coefficients of the plynomial $${\left( {1 + x - 3{x^2}} \right)^{2163}}$$ is ...............

Answer

$$ - 1$$
2

IIT-JEE 1982

Fill in the Blanks
The larger of $${99^{50}} + {100^{50}}$$ and $${101^{50}}$$ is ..............

Answer

$${\left( {101} \right)^{50}}$$

Questions Asked from Mathematical Induction and Binomial Theorem

On those following papers in Fill in the Blanks
Number in Brackets after Paper Indicates No. of Questions
IIT-JEE 1997 (1)
IIT-JEE 1994 (1)
IIT-JEE 1983 (1)
IIT-JEE 1982 (2)

Chapters Map

Algebra

Complex Numbers
Quadratic Equation and Inequalities
Permutations and Combinations
Mathematical Induction and Binomial Theorem
Sequences and Series
Matrices and Determinants
Vector Algebra and 3D Geometry
Probability

Trigonometry

Trigonometric Functions & Equations
Properties of Triangle
Inverse Trigonometric Functions

Coordinate Geometry

Straight Lines and Pair of Straight Lines
Circle
Conic Sections

Calculus

Functions
Limits, Continuity and Differentiability
Differentiation
Application of Derivatives
Indefinite Integrals
Definite Integrals and Applications of Integrals
Differential Equations

EXAM MAP

Joint Entrance Examination

JEE Main JEE Advanced WB JEE

Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

Medical

NEET

CBSE

Class 12