Class 10 Mathematics: Non-Rationalised NCERT Solutions

Complete Chapter-Wise Solutions (Full Syllabus)

• Chapter 1: Real Numbers

  Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, and proofs of irrationality.

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• Chapter 2: Polynomials

  Zeros of a polynomial and the traditional Division Algorithm for polynomials.

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• Chapter 3: Pair of Linear Equations in Two Variables

  Substitution, elimination, and the traditional cross-multiplication method.

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• Chapter 4: Quadratic Equations

  Standard form, factorization, and solving by completing the square.

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• Chapter 5: Arithmetic Progressions

  Mastering the nth term and the sum of the first n terms of an AP.

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• Chapter 6: Triangles

  Similarity, BPT, and traditional proofs including Pythagoras and area of similar triangles.

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• Chapter 7: Coordinate Geometry

  Distance formula, section formula, and the traditional area of a triangle formula.

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• Chapter 8: Introduction to Trigonometry

  Trigonometric ratios, identities, and values for specific angles.

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• Chapter 9: Some Applications of Trigonometry

  Heights and distances using angles of elevation and depression.

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• Chapter 10: Circles

  Properties of tangents and theorems related to lengths from external points.

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• Chapter 11: Constructions

  Constructing division of line segments and tangents to a circle.

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• Chapter 12: Areas Related to Circles

  Areas of sectors, segments, and lengths of arcs of circles.

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• Chapter 13: Surface Areas And Volumes

  Combination of solids and the traditional Frustum of a Cone section.

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• Chapter 14: Statistics

  Mean, median, mode, and traditional cumulative frequency graphs (Ogives).

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• Chapter 15: Probability

  Complete theoretical approach to simple and complex probability events.

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