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# WEBSCTE JEXPO / VOCLET 2018 Syllabus Joint Entrance Examination for Admission Polytechnic : West Bengal State Council of Technical Education

** Organisation **: West Bengal State Council of Technical Education WEBSCTE

**: Syllabus**

__Announcement__**: JEXPO / VOCLET-2018 Joint Entrance Examination for Admission to Polytechnics in West Bengal**

__Entrance Exam__**:**

__Syllabus__https://www.entrance.net.in/uploads/13340-Jexpo.pdf

https://www.entrance.net.in/uploads/13342-voclet.pdf

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Contents

## WEBSCTE JEXPO/VOCLET Syllabus

The JEXPO–2018, will be conducted in two papers comprising “Mathematics (First Paper)” and “Physics & Chemistry (Second Paper)” for admission of students to Diploma Courses in Engineering/Technology. ‘Multiple Choice Questions (MCQ)’ shall be set for both the papers.

Related: WEBSCTE VOCLET 2018 Joint Entrance Examination Polytechnic Admission : www.entrance.net.in/13342.html

## JEXPO Syllabus

Latest revised syllabus on Mathematics and Physical Science upto Class X under West Bengal Board of Secondary Education (WBBSE) shall be followed for JEXPO–2018. Topic-wise syllabus is given below:

### Mathematics

Real Numbers, Laws of Indices, Graph, Co-ordinate Geometry – Distance Formula, Linear Simultaneous Equations, Properties of Parallelogram, Polynomial, Factorisation, Transversal & Mid-Point Theorem, Profit & Loss, Statistics, Theorems on Area, Construction of a Parallelogram whose measurement of one angle is given and equal in area of a Triangle, Construction of a Triangle equal in area of a quadrilateral, Area & Perimeter of Triangle & Quadrilateral shaped region, Circumference of Circle, Theorems on concurrence, Area of circular region, Co-ordinate Geometry – Internal and External Division of Straight Line Segment, Co-ordinate Geometry – Area of Triangular Region, Logarithm.

Quadratic Equations with one variable, Simple Interest, Theorems related to circle, Rectangular Parallelopiped or Cuboid, Ratio and Proportion, Compound Interest and Uniform Rate of Increase or Decrease, Theorems related to Angles in a Circle, Right Circular Cylinder, Quadratic Surd, Theorems related to Cyclic Quadrilateral, Construction of circumcircle and incircle of a triangle, Sphere, Variation, Partnership Business, Theorems related to Tangent to a Circle, Right Circular Cone, Similarity, Construction of tangent to a circle, Real life Problems related to different Solid Objects, Trigonometry – Concept of Measurment of Angle, Construction – Determination of Mean Proportional, Pythagoras Theorem, Trigonometric Ratios and Trigonometric Identities, Trigonometric Ratios of Complementrary angle, Application of Trigonometric Ratios – Heights & Distances, Statistics – Mean, Median, Ogive, Mode and Numerical Aptitude.

### Physical Science

Measurement, Force & Motion, Atomic Structure, Mole Concept, Matter – Structure and Properties, Solution, Acids, Bases & Salts, Work, Power & Energy, Sound, Heat, Separation of Components of Mixtures, Water.

Concerns about our Environment, Behaviour of Gases, Light, Periodic Table and Periodicity of the Properties of Elements, Ionic and Covalent Bonding, Chemical Calculations, Thermal Phenomena, Current Electricity, Electricity and Chemical Reactions, Inorganic Chemistry in the Laboratory and in Industry, Metallurgy, Atomic Nucleus, Organic Chemistry and General Awareness.

## VOCLET Syllabus

The latest revised syllabus of West Bengal State Council of Technical and Vocational Education and Skill Development (Vocational Educaiton Division) [erstwhile, West Bengal State Council of Vocational Education & Training] for (10+2) examination shall be followed for VOCLET-2018. Topic-wise syllabus is given below:

### Mathematics

Laws of Indices, Complex Numbers, Algebra of Complex Numbers, cube roots of unity and its properties, D-Moivre’s Theorem. simple problems.Sequence And Series: A.P., G.P.Quadratic Equations. Solutions of Quadratic Equation in complex number system. Binomial Th, de?? nition of permutation – combination with formulae, Binomial Theorem for positive integral index, general term, middle term. Matrix. Determinant, Cramer’s rule [unique solution].

** Trigonometric ratios of associated angles**: compound angles – multiple and sub multiple angles. General solution of trigonometric `equation. Inverse circular function.

Co-ordinate system, Distance between two points, section formulae, and formulae for area of a triangle – problems, straight line – different forms.Angle between two straight lines, condition of parallelism and perpendicularism of two straight lines, distance of a point from a given line. Standard equation of a circle, simple properties of parabola, ellipse, hyperbola.

** Calculus**: Function, identity polynomial, rational, modulus and signum functions with their graphs even, odd, periodic and parametric functions. Differential calculus, limit and continuity, differentiation of parametric, logarithmetic and implicit functions.Successive differentiation upto 2nd order problems. Application of derivatives.

** Integral calculus**: Integrationbysubstitution, by parts. Defi nite integral –evaluation of definite integral.Application of definite integral. Differential equation: solution of differential equation of 1st order. Solution of homogeneous differential equation of 1st order and 1st degree. Vector: addition of vectors, dot product, cross product position vector of a point dividing a line segment in a given ratio.

### Physical

Units of measurement; Dimension of physical quantities, Motion in a straight line; definitions, Graphical analysis. Equations of motions. Scalar and vector quantities, Scalar and vector products of vectors. Frame of reference Newton’s laws. Law of conservation of linear momentum. Friction, Uniform circular motion; vehicle on level circular road / banked road.

Work, Energy & Power. Centre of mass, Moment / angular momentum,Problems. Moment of inertia and radius of gyration. Law of gravitation. Gravitational potential. Kepler’s laws of planetary motion, geo-stationary satellite. Elastic behaviour, Hooke’s law; Young modules, bulk modulus, shear modulus of rigidity, Poison’s ratio; elastic energy. Pascal’s law and its application.

Thermal physics –thermal expansion; ideal gas laws, isothermal and adiabatic processes; anomalous expansion calorimetry, Cp, Cv. Heat transfer, Newton’s law of cooling, thermal conductivity.Thermal equilibrium, zeroth law / first law of thermodynamics. Equation of state of a perfect gas, Kinetic theory of gases. Periodic motion, Simple harmonic motion [SHM]; Simple pendulum, free, damped and forced vibration, resonance.