Equation of a chord with respect to the middle point. Equation of a circle if end points of a diameter be given (all in terms of rectangular Cartesian co-ordinates). General equation of the form x 2 + y 2 + 2gx + 2fy + c = 0 represents a circle. Equation of a circle given center and radius. Equations of Circles: Standard equation.
Equations of bisectors ofĪngles between two lines, equation of bisector of an angle that contains Notion of a signed distance of a point from a line, position of a point Equation of a line parallel to a given line.Įquation of a line perpendicular to a given line, conditions that two
Point-slope form, equation of the line through two given points, Equations of co-ordinate axes,Įquations of lines parallel to co-ordinate axes, slope-intercept form, Slope in terms ofĬo-ordinates of two points on it. Equations of Straight Lines (in rectangular Cartesian co-ordinates only): Notion of inclination and slope of a line.Equation of locus in term of rectangular Cartesian co-ordinates. Locus: Concept of locus by simple illustration.Area of a triangle (all in terms of rectangular Cartesian co-ordinates). Distance between Two Points: Division of a line segment in a given ratio.Transformation from Cartesian to Polar Co-ordinates and vice-versa.Polar Co-ordinates: Notion of directed angles and polar co-ordinate system.Rectangular Cartesian Co-ordinates:ĭirected line and directed line segment, co-ordinate system on aĭirected line and rectangular Cartesian co-ordinate system in a plane.In 11 and 12 grade math these are the topics which are covered in Plane Analytical Geometry, Mensuration & Solid Geometry. Plane Analytical Geometry, Mensuration & Solid Geometry: Properties of Triangles:īasic relations between sides, angles, circus-radius and in-radius.Īrea of triangles in different forms.Y = sin mx, y = cos mx and y = tan mx, where m is an integer with stated values. Trigonometrical Inverses (specific mention of principal branch).General Solutions of Trigonometrical Equations.Identities (conditional) of Trigonometrical Ratios (Sum of angles π or π/2).Product formulae, sum & difference formulae. Geometrical methods (for Sine and Cosine only). Trigonometrical Ratios of Compound Angles:.Revision exercises of the topics covered in the syllabus of Secondary Mathematics.In 11 and 12 grade math these are the topics which are covered in Trigonometry.
#Analytical geometry formulas grade 11 series
Binomial series (1 + x)n ( n ≠ positive integer), exponential and logarithmic series with ranges of validity (statement only). Simple properties ofīinomial coefficients. Number of terms, middle term, equidistant terms.
Statement of the theorem, proof by method of induction. Binomial Theorem for Positive Integral Index:.Division into two groups (circular combination excluded). Combinations:ĭefinition : Theorem on combination of n different things taken r at a time, things not all different.Theorem on permutations of n different things taken r at a time, things not all different, permutation with repetitions (circular permutation excluded). Nature of the qu adratic expression ax\(^\) + bx + c - its sign and magnitude. Roots (two and only two roots), relation between roots andĬoefficients of a quadratic equation. Numbers, cube roots of unity and their properties. Multiplication and division, properties of complex numbers if a + ib =Ġ, then a= 0, b= 0 if a + ib = c + id, then a = c, b = d. Complex Numbers:Ĭomplex numbers, significance of the imaginary unit i, addition,.Proofs for fundamental laws of indices for positive integers, statementįor fractional, zero and negative indices : simple applications.ĭefinition, base, index, general properties of logarithms, common logarithm, characteristic and mantissa, antilogarithm, use of logarithmic tables. Properties of surds, if a + √b = 0 then a = 0, b = 0 if a + √b =Ĭ + √d, then a = c, b = d. Numbers, surds, quadratic surds, mixed surds, conjugate surds, , Common ratio, general term, summation of n terms, G. Geometric Progression: Definition of G.Sum of the and cubes of first natural numbers, A. P., common difference, term, summation of n terms. Application to simple examples of time and work, time and distance, mensuration, physical laws, economics.ĭefinition of A. Variation: Direct, inverse and joint variation, theorem of joint variation.In 11 and 12 grade math these are the topics which are covered in Algebra.
0 kommentar(er)
