BSEH Class 12 Maths study guide
BSEH Class 12 Maths · Work through your exam, one topic at a time.
The BSEH Class 12 Mathematics examination is the senior secondary mathematics paper set by the Board of School Education Haryana for students completing Class 12 in affiliated schools. It is a school-leaving and board-certification exam: the result is used for higher secondary certification and as the basis for admission to undergraduate programmes and for many competitive entrance tests. The BSEH Class 12 Maths study guide has 13 sections and about 3,682 words.
01Relations and Functions
This domain tests whether you can classify a relation on a set, decide when a function is one-one or onto, and handle composites and inverses. BSEH papers usually set a 1-mark definition check, a 2–3 mark proof that a relation is an equivalence relation, and a 3–4 mark inverse-function question.
330 words, about 2 min02Inverse Trigonometric Functions
Questions here check principal value branches, domain–range restrictions, and the standard identities. Typical board items are a one-mark principal value, a simplification of a nested expression, and a 3-mark identity proof.
255 words, about 1 min03Matrices
Matrix questions test order and equality, the three elementary operations, transpose, symmetric and skew-symmetric matrices, and the adjoint–inverse method. Expect a definition-based one-mark item and a computation of A⁻¹ or a verification of (AB)′ = B′A′ for 3–4 marks.
288 words, about 1 min04Determinants
Determinants questions cover expansion, the effect of row and column operations, area of a triangle, adjoint and inverse, and solving a system of linear equations by the matrix method. A typical paper has a 1-mark value, a 3-mark property-based evaluation and a 4–6 mark system-solving problem.
276 words, about 1 min05Continuity and Differentiability
This domain tests the definition of continuity at a point, the link between continuity and differentiability, and the standard derivative techniques: chain rule, implicit differentiation, logarithmic differentiation and derivatives of inverse trigonometric functions. Rolle's and Lagrange's Mean Value Theorems also appear as 3–4 mark questions.
287 words, about 1 min06Application of Derivatives
Questions test rates of change, increasing and decreasing intervals, tangents and normals, maxima and minima, and absolute extrema on a closed interval. Word problems on rates and optimisation carry the most marks.
297 words, about 1 min07Integrals
Indefinite and definite integration is the heaviest scoring domain. Questions cover standard forms, substitution, integration by parts, partial fractions, and definite-integral properties such as the King property.
261 words, about 1 min08Application of Integrals
This short domain tests finding areas bounded by curves using definite integrals. Questions usually supply the curves and ask for the area of the region enclosed, sometimes requiring you to find the intersection points and sketch first.
317 words, about 2 min09Differential Equations
Questions test order and degree, formation of a differential equation from a family of curves, and solution methods: variable separable, homogeneous, and linear equations with an integrating factor. Expect a 5–6 mark solve-and-find-particular-solution problem.
270 words, about 1 min10Vector Algebra
This domain tests vector addition, section formula, scalar and vector products, projection, and areas of triangles and parallelograms. Questions are usually 1–3 marks but appear in almost every paper.
262 words, about 1 min11Three-Dimensional Geometry
Questions cover direction cosines and ratios, equations of lines and planes in vector and Cartesian form, angles, and shortest distances. Expect a 1-mark direction-ratio item and a 4–6 mark problem on planes or skew lines.
310 words, about 2 min12Linear Programming
Linear programming questions ask you to formulate constraints, draw the feasible region, and optimise an objective function by the corner point method. A full 6-mark graphical problem is standard, sometimes with a short formulation part.
300 words, about 2 min13Probability
Probability questions cover conditional probability, independent events, total probability, Bayes' theorem, random variables with mean and variance, and the binomial distribution. Expect a 4–6 mark Bayes or distribution problem.
229 words, about 1 min