Heavy Chemicals : Sulfuric acid (contact process), Ammonia (Haber’s process), Nitric acid (Ostwald’s process), sodium bi-carbonate and sodium carbonate (Solvey process).
Polymers, Polythene, Nylon-66, rubber from natural source, vulcanization.
Electrochemicals – sodium hydroxide, chlorine, bleaching powder as by-products.
Fuel Gases – LPG, CNG.
Silicon carbide and silicones.
Permutation and combination : Permutation of n different things taken r at a time (r≤n). Permutation of n things not all different. Permutation with repetitions (circular permutation excluded).
Quadratic Equations : Quadratic equations with real coefficients; Relations between roots and coefficients; Nature of roots; Formation of a quadratic equation, sign and magnitude of the quadratic expression ax2+bx+c (a,b,c are rational numbers and a≠0).
Complex Numbers: Definition and properties of complex numbers; Complex conjugate; Triangle inequality; Square root of complex numbers; Cube roots of unity; D’Moivre’s theorem (statement only) and its elementary applications.
Logarithms :Definition; General properties; Change of base.
SYLLABUS FOR WEST BENGAL JOINT ENTRANCE EXAMINATION MATHEMATICS
ALGEBRA
