BSEB Inter Mathematics study guide
BSEB Inter Mathematics · Work through your exam, one topic at a time.
The Bihar School Examination Board Intermediate Mathematics examination is the Class 12 mathematics paper taken by students in the Science and Commerce streams under BSEB, Patna. It is a school-leaving and university-entrance credential: results feed into higher education admissions and are commonly required for undergraduate science, engineering and commerce courses. The BSEB Inter Mathematics study guide has 13 sections and about 2,808 words.
01Relations and Functions - BSEB Inter Study Guide
BSEB Inter Mathematics tests whether you can classify relations, prove a function is one-one or onto, compose functions and invert bijections. Expect short proofs and domain checks rather than long computation.
238 words, about 1 min02Inverse Trigonometric Functions - BSEB Inter Study Guide
This domain checks principal values, domain and range restrictions, and identity-based simplification. BSEB questions often ask for one exact angle or a proof using sin⁻¹x+cos⁻¹x=π/2.
194 words, under 1 min03Matrices and Determinants - BSEB Inter Study Guide
Questions test matrix algebra, determinant properties, adjoint and inverse, and solving linear systems. Accuracy in signs matters more than speed because one sign error changes the inverse.
184 words, under 1 min04Continuity and Differentiability - BSEB Inter Study Guide
This section tests left and right continuity, differentiability at a join point, the chain rule, derivatives of inverse trigonometric functions and mean value theorems. f is continuous at a if lim x→a⁻ f(x)=lim x→a⁺ f(x)=f(a).
214 words, about 1 min05Application of Derivatives - BSEB Inter Study Guide
BSEB tests rates of change, monotonicity, tangents and normals, and local maxima and minima. The work is mostly sign analysis of f′(x), so a clear number line prevents errors.
232 words, about 1 min06Integrals - BSEB Inter Study Guide
This domain covers indefinite integrals, substitution, integration by parts, partial fractions and definite integrals using the fundamental theorem. ∫x^n dx=x^(n+1)/(n+1)+C for n not equal to −1; ∫(1/x)dx=ln x +C.
212 words, about 1 min07Application of Integrals - BSEB Inter Study Guide
Questions ask for the area bounded by curves, axes and lines. The exam tests setting up the correct definite integral, especially deciding which curve is upper and where the curves intersect.
283 words, about 1 min08Differential Equations - BSEB Inter Study Guide
This domain tests order and degree, formation of differential equations, variable-separable equations, homogeneous equations and linear first-order equations. Order is the highest derivative present; degree is the power of the highest-order derivative after the equation is made polynomial in derivatives.
199 words, under 1 min09Vector Algebra and Three-Dimensional Geometry - BSEB Inter Study Guide
Questions test dot and cross products, projections, direction cosines, lines and planes in space. The exam favours exact angle and distance calculations.
188 words, under 1 min10Linear Programming - BSEB Inter Study Guide
Questions ask you to formulate constraints, graph the feasible region, and optimise a linear objective by the corner-point method. The exam tests bounded regions and simple unbounded cases.
236 words, about 1 min11Probability - BSEB Inter Study Guide
This domain tests conditional probability, independence, Bayes theorem, random variables and the binomial distribution. Draw a tree diagram for two-stage experiments: multiply along a branch and add across branches.
206 words, about 1 min12Algebra - BSEB Inter Study Guide
In BSEB Inter Mathematics, algebra questions cover complex numbers, quadratic equations, permutations and combinations, binomial expansion and sequences. The exam tests formula recognition and careful index work.
193 words, under 1 min13Calculus Foundations and Problem Solving - BSEB Inter Study Guide
This domain ties together limits, standard derivatives and integrals, and the algebraic manipulation needed to start a calculus problem. BSEB papers reward recognising a standard form before differentiating or integrating.
229 words, about 1 min