Curriculum structure
CBSE groups Class XI Mathematics in five units: Sets and Functions; Algebra; Coordinate Geometry; Calculus; Statistics and Probability. The 2026–27 assessment includes 80 theory marks and 20 internal-assessment marks.
Verified syllabus units (14)
Sets
Use roster or set-builder notation. Union combines elements; intersection keeps common elements; complement is relative to a stated universal set.
Relations and Functions
A relation is a subset of a Cartesian product. A function assigns exactly one output to each domain element; distinguish domain, codomain and range.
Trigonometric Functions
Use radians consistently: 180°=π radians. The unit circle gives signs and values; sin²x+cos²x=1.
Complex Numbers and Quadratic Equations
Write z=a+bi with i²=−1. Conjugate is a−bi and |z|²=a²+b². Separate real and imaginary parts when solving.
Linear Inequalities
Solve equivalent inequalities and reverse the sign only when multiplying or dividing by a negative number.
Permutations and Combinations
nPr counts ordered selections; nCr counts unordered selections. nCr=nPr/r!. Define whether order matters before choosing.
Binomial Theorem
In (a+b)^n, the general term is C(n,r)a^(n−r)b^r. Check coefficient and exponent indices.
Sequences and Series
AP nth term a+(n−1)d; GP nth term ar^(n−1). For a finite GP, sum=a(r^n−1)/(r−1), r≠1.
Straight Lines
Slope=(y₂−y₁)/(x₂−x₁). Point-slope form: y−y₁=m(x−x₁).
Conic Sections
Recognise a conic from standard form; identify its centre or vertex and orientation before sketching.
Introduction to Three-dimensional Geometry
Distance in 3D is √[(Δx)²+(Δy)²+(Δz)²]. Keep coordinates paired correctly.
Limits and Derivatives
A derivative is an instantaneous rate of change and tangent slope. For xⁿ, derivative is nxⁿ⁻¹.
Statistics
Study dispersion measures prescribed by CBSE: range, mean deviation, variance and standard deviation for grouped and ungrouped data. Interpret spread with units.
Probability
Events may be mutually exclusive or exhaustive. Use P(Aᶜ)=1−P(A), P(A∪B)=P(A)+P(B)−P(A∩B); define the sample space and check 0≤P(A)≤1.