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📐 MathematicsUnion Public Service Commission

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15 chapters in syllabus order, in English and Hindi.

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  • 15chapters
  • 125quiz questions
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Syllabus

NDA Mathematics chapters

In the order you should study them.

📐 15 chapters, in orderFree chapter15 chapters
  1. Sets, Relations and FunctionsFree
  2. Complex Numbers and Quadratic Equations
  3. Matrices and Determinants
  4. Permutations, Combinations and the Binomial Theorem
  5. Sequences and Series
  6. Trigonometry — Identities, Equations and Inverse Functions
  7. Limits, Continuity and Differentiability
  8. Differentiation and Applications of Derivatives
  9. Integration and Definite Integrals
  10. Differential Equations
  11. Straight Lines and Circles
  12. Conic Sections — Parabola, Ellipse and Hyperbola
  13. Vector Algebra
  14. Three-Dimensional Geometry
  15. Probability and Statistics

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Try a real Mathematics question

A real question from the course. No sign-up needed.

From the chapter: Sets, Relations and Functions

The number of relations from a set with 3 elements to a set with 2 elements is:

Show the answer and why

Answer: C.

A relation is any subset of the Cartesian product, which here has 3 × 2 = 6 ordered pairs, so the number of subsets is 2⁶ = 64. The answer 8 is 2³, which counts subsets of the first set alone, and 6 is the size of the product rather than the number of its subsets — both are the kind of near-miss that comes from stopping one step early.

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