Hi, today am going to discuss about **Andhra Pradesh 10 ^{th} maths syllabus** with sub topics. So that everyone can get the details of topics in each chapter. When compared to other state maths syllabus,

**Andhra 10**is very good and vast. Actually Andhra government modified the maths syllabus three years back. After modifying

^{th}maths syllabus**andhra pradesh 10**, now its looks very good with good quality pages and looking colorful.

^{th}maths book**
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**Chapterwise Andhra Pradesh 10th Maths syllabus :**

**Topic 1: REAL NUMBERS**

**Sub topics: **

- Euclid’s division lemma.
- Fundamental theorems of Arithmetic.
- Rational numbers and their decimal expansions.
- Non terminating Recurring decimals in Rational numbers.
- Irrational numbers.
- Introduction to logarithms.
- Properties of logarithms.

**Topic 2: SETS**

**Sub topics:**

- Introduction of sets.
- Definition of sets.
- Roaster form and Set builder form.
- Types of sets.
- Using diagrams to represent sets.
- Universal set and Subset.
- Venn diagrams.
- Basic operation on sets.
- Union of sets.
- Intersection of sets.
- Disjoint sets.
- Difference of sets.
- Equal sets.
- Finite and infinite sets.

**Topic 3: POLYNMIALS**

**Sub topics:**

- Introduction to polynomials.
- What are polynomials?
- Degree of polynomial.
- Value of polynomial.
- Zeros of polynomial.
- Geometrical meaning of the zeros of the polynomial.
- Graphical representation of a linear polynomial.
- Graphical representation of a Quadratic polynomial.
- Geometrical meaning of the zeros of cubic polynomial.
- Relationship between zeros and coefficients of a polynomial.
- Cubic polynomial.
- Division algorithm for polynomials.

**Topic 4: PAIR OF LINERA EQUATIONS IN TWO VARIABLES**

**Sub topics:**

- Introduction.
- How do we find unknown quantities?
- Using both equations together.
- Solutions of pairs of linear equations in two variables.
- Graphical method of finding solution of a pair of linear equation.
- Relation between coefficients and nature of system of equations.
- Substitution method.
- Elimination method.
- Equations reducible to a pair of linear equations in two variables.

**Topic 5: QUADRATIC EQUATIONS**

**Sub topics: **

- Introduction.
- Quadratic equations definition.
- Solution of a quadratic equation by factorization.
- Solution of a quadratic equation by completing the square.
- Nature of roots.

**Topic 6: PROGRESSIONS**

**Sub topics: **

- Introduction.
- Arithmetic progressions.
- What is an AP.
- General form of AP.
- Parameters of an AP.
- nth term of an AP.
- Sum of first ‘n’ terms in AP.
- How ‘GAUSS’ find the sum of terms.
- Sum of ‘n’ terms of an AP.
- Geometric progression.
- nth term of GP.

**Topic 7: COORDINATE GEOMETRY**

**Sub topics: **

- Introduction.
- Distance between two points.
- Distance between two points on a line parallel to the coordinate axes.
- Distance between any two points on a x-y plane.
- Section Formulae.
- Centroid of a triangle.
- Trisection points of a line.
- Area of triangle.
- Collinearity.
- Straight lines.
- Slope of a straight line.
- Slope of a line joining two points .

**Topic 8: SIMILAR TRIANGLES**

**Sub topics: **

- Introduction.
- Similar figures.
- Similar triangles.
- Basic proportionality theorem.
- Criteria for similarity of triangles.
- AAA, SSS, SAS Criterion for similarity of triangles.
- Areas of similar triangles.
- Pythagoras theorem.
- Different forms of theoretical statements.
- negation of a statement.
- converse of a statement.
- proof by contradiction.

**Topic 9: TANGENTS AND SECANTS TO A CIRCLE**

**Sub topics: **

- Introduction.
- A line and a circle.
- Tangents of a circle.
- Construction of tangent to a circle.
- Finding length of a tangent.
- Number of tangent to a circle from any point.
- Construction of tangents to a circle from an external point.
- Segment of a circle formed by a secant.
- Finding the area of segment of a circle.

**Topic 10: MENSURATION**

**Sub topics: **

- Introduction.
- Surface area of the combination of solids.
- Volume of combination of solids.
- Conversion of solid from one shape to another.

**Topic 11: TRIGONOMETRY**

**Sub topics:**

- Introduction.
- Naming the sides in a right angled triangle.
- Trigonometric ratios.
- Defining trigonometric ratios.
- Trigonometric ratios of some specific angles.
- Trigonometric ratios of { 0 }^{ 0 },{ 30 }^{ 0 },{ 45 }^{ 0 },{ 60 }^{ 0 },{ 90 }^{ 0 }

- Trigonometry identities.

**Topic 12: APPLICATIONS OF TRIGONOMETRY**

**Sub topics:**

- Drawing figures to solve problems.
- Solution for two triangles.

**Topic 13: PROBABILITY**

**Sub topics: **

- Introduction.
- What is probability?
- Mutually exclusive events.
- Finding probability.
- Complementary events and probability.
- Impossible and certain events.
- Deck of cards and probability.
- Use of probability.
- Application of probability.

**Topic 14: STATISTICS**

**Sub topics: **

- Introduction.
- Mean of ungrouped data.
- Mode.
- Median of grouped data.
- Which value of central tendency?
- Graphical representation of cumulative frequency.
- Obtaining Median from Ogive curve.

This detailed topic of **10 ^{th} maths** gives you clear cut information. So doesn’t waste time learn topic by topic and be prepare for exam. In coming days I will try to post all solutions.

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