Theory
Straight lines: Distance formula, section formula ( internal and external division ), Change of axes ( only origin changed ), Equation of co-ordinate axes, Equation of lines parallel to axes, Slope-intercept form of equation of line, Slope-point form of equation of line, Two point form of equation of line, Intercept form of equation of line, Normal form of equation of line, General form of equation of line, Point of intersection of two st. lines, Angles between two st. lines, Parallel lines, Perpendicular lines, Angle of bisectors between two lines, Area of triangle and quadrilateral.
Circle: Equation of circle whose centre and radius is known, General equation of a circle, Equation of circle passing through three given points, Equation of circle whose diameters is line joining two points ( x1, y1 ) & ( x2, y2 ), Tangent and Normal to a given circle at given point ( Simple problems ), Condition of tangency of a line y = mx + c to the given circle x2 + y2 = a2. Definition of function, limit and continuity, Simple problems on limit, Simple problems on continuity, Differentiation of xn, ex , sin x and cos x from first principle, Derivatives of sum, difference, product and quotient of two functions, Differentiation of functions of functions.
Differential Calculus: ( Simple problem based on it ), Logarithmic differentiation ( Simple problem based on it ), Differentiation by substitution method and simple problems based on it, Differentiation of Inverse Trigonometric functions. Maxima and Minima of the functions of the form y=f ( x ) ( Simple problems based on it ).
Integral Calculus: Integration of simple functions, Integration of Product of two functions, Integration by substitution method, Definite Integral ( Simple problems based on it ), Area under simple well- known curves ( Simple problems based on it ).
Matrices and Determinants: Definition of Matrices, Addition, Subtraction, Multiplication, Transpose and Inverse up to 3rd order, Properties of determinants up to 3rd order and their evaluation