MATHEMATICS AND STATISTICS - PART 1 For SCIENCE & ARTS - PRAGATI EASY GUIDES - As per 2020 Syllabus for Class 12th - Junior College  (Paperback, Maruti D. Bhagat, Anagha R. Medhekar)

1. Mathematical Logic • Identify statement in logic and truth value of it. | • Combine two or more statements. | • Construct the truth table and examine logical equivalence of statement patterns. | • Find dual and negation of statement pattern. | • Study the applications of logic to switching circuits. 2. Matrices • Identify orders and types of matrices. | • Perform basic algebraic operations on matrices. | • Find the inverse of a matrix using elementary transformation and adjoint method. | • Solve the system of linear equations using matrices. 3. Trigonometric Functions • Understand and write trigonometric equation. | • Find the principal and general solution of a trigonometric equation. | • Solve triangle by using sine rule, cosine rule and projection rule and find area of a triangle. | • Understand inverse trigonometric functions with domain and range. 4. Pair of Straight Lines • Write and interpret the combined equation of two straight lines in plane. | • Find the plane of intersection of two lines and calculate the acute angle between them. | • Study the general second degree equation in x and y with reference to homogeneous part of it. 5. Vectors • Understand scalars and vectors and algebra of vectors. | • Write vectors of 2 or 3 dimensions, understand the scalar and vector products. | • Study applications of vectors to area of triangle, work done by a force, moment of a force. | • Interpret scalar triple product and its applications. 6. Line and Plane • Find different forms of equation of line. | • Find angle between two intersecting planes. | • Find the angle between a line and a plane. | • Find condition for perpendicularity and parallelness of planes. | • Calculate distance of a point from a plane. | • Find equation of a plane in different forms. | • Find angle between two intersecting planes. | • Find the angle between a line and a plane. 7. Linear Programming • Understand linear equations in one and two variables. | • Find graphical solution of linear inequation. | • Understand meaning and formulation of L.P.P. | • Find solution of L.P.P. by graphical methods.