CBSE Maths# Class 10

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Topics include

**Chapter 1 Real Numbers**- Euclid's Division Lemma, Fundamental Theorem of Arithmetic, HCF, LCM, Prime Factorization, Proving irrational, Decimal Expansion,**Chapter 2 Polynomials**- Geometrical Meaning of Zeroes of Polynomial, Relationship between Zeroes & Coefficients of Polynomial, Division Algorithm.**Chapter 3 Pair of Linear Equations in Two Variables**- Forming equations, Solving by graph, Checking consistency - Consitent or Inconsistent, Equations intersect at point or are parallel or coincident, infinitely many solutions, no solution, unique solution, Elimination, Substitution, Cross-multiplication method,**Chapter 4 Quadratic Equations**- Roots of quadratic equation by factorization, completing the square, quadratic formula, nature of roots D = b2 - 4ac**Chapter 5 Arithmetic Progressions(AP)**- What is AP, common difference (d), nth term of AP, Sum of n terms of A.P. (Sn)**Chapter 6 Triangles**- Similarity, AA, AAA, SAS, SSS, Area of similar triangles, Pythagoras theorem**Chapter 7 Coordinate Geometry**- Abscissa, Ordinate, , Distance formula, Collinear Points, Types of quadrilateral/triangle, Equidistant point by Section Formula.**Chapter 8 Introduction to Trigonometry**- What is sin , cos, tan, cot, sec, cosec, Value of trigonometric ratios at 0°, 30°, 45°, 60° & 90°, sin (90 – θ) = cos θ , tan (90 – θ) = cot θ , sec (90 – θ) = cosec θ, sin2 x + cos2 x = 1 , sec2 x = 1 + tan2 x , cosec2 x = 1 + cot2 x**Chapter 9 Some Applications of Trigonometry**- Finding height and distances, knowing what is angle of depression, angle of elevation , line of sight.**Chapter 10 Circles**- Tangent to circle, Number of tangents from a point of the circle, Length of tangent.**Chapter 11 Constructions****Chapter 12 Areas Related to Circles**- Perimeter and area of circle, Length of arc of sector, Area of sector, Area of segment, Area of semicircle.**Chapter 13 Surface Areas and Volumes**- Surface area & volume of combination of solids - cone, cube, cuboid, cylinder, sphere, hemisphere, Conversion of one shape to another & Volume Surface Area of frustum of cone.**Chapter 14 Statistics**- Finding mean - Normal method, assumed mean method, step deviation method. Finding median - for more than, less than using median class and cumulative frequency, Mode, More than - less than ogive.**Chapter 15 Probability**- Probability of complementary events.

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