Topics
Goods and Services Tax (G.S.T.)
Commercial Mathematics
Compound Interest
- Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
- Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years
- Use of Formula
- Finding CI from the Relation CI = A – P
Banking
Algebra
Shares and Dividends
Geometry
Mensuration
Linear Inequations
Quadratic Equations
- Quadratic Equations
- Method of Solving a Quadratic Equation
- Factorisation Method
- Quadratic Formula (Shreedharacharya's Rule)
- Nature of Roots of a Quadratic Equation
- Equations Reducible to Quadratic Equations
Trigonometry
Ratio and Proportion
Statistics
Probability
Factorisation of Polynomials
- Function and Polynomial
- Division Algorithm for Polynomials
- Remainder Theorem
- Factor Theorem
- Applications of Factor Theorem
Matrices
Arithmetic and Geometric Progression
Co-ordinate Geometry
- Co-ordinate Geometry
- Advanced Concept of Reflection in Mathematics
- Invariant Points
- Combination of Reflections
- Using Graph Paper for Reflection
Symmetry
Similarity
Loci
- Locus
- Points Equidistant from Two Given Points
- Points Equidistant from Two Intersecting Lines
- Summary of Important Results on Locus
- Important Points on Concurrency in a Triangle
Circles
Tangent and Secant Properties
Constructions
Area and Volume of Solids (Cylinder, Cone and Sphere)
- Mensuration of Cylinder
- Hollow Cylinder
- Mensuration of Cones
- Mensuration of a Sphere
- Hemisphere
- Conversion of Solids
- Solid Figures
- Problems on Mensuration
Trigonometrical Identities
Heights and Distances
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Probability
- Division Algorithm
- Important Identities
CISCE: Class 10
Definition: Function
A function f(x) is a rule or expression whose value depends on the variable x.
The value of the function at x = a is denoted by f(a) and is obtained by substituting x = a in f(x).
CISCE: Class 10
Definition: Polynomial
An expression of the form
f(x) = a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + … + aₙ₋₁x + aₙ,
where a₀, a₁, a₂, …, aₙ₋₁, aₙ are real numbers and a₀ ≠ 0, is called a polynomial of degree n
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Degree of a polynomial = highest power of the variable.
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Leading term: term with the highest power.
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Leading coefficient: coefficient of highest power.
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Constant term: term without the variable.
