RBSE SS Mathematics study guide
RBSE SS Mathematics · Work through your exam, one topic at a time.
The RBSE Senior Secondary Mathematics examination is the Class 12 mathematics paper set by the Board of Secondary Education Rajasthan (BSER), Ajmer. It is taken by students completing senior secondary schooling in Rajasthan and is used for progression to university mathematics, engineering, commerce and science degrees, and as a qualifying credential for many state-level admissions and recruitment processes. The RBSE SS Mathematics study guide has 10 sections and about 2,827 words.
01Relations and Functions
Relations and Functions in this paper asks you to classify a relation as reflexive, symmetric or transitive, to count relations and functions on finite sets, and to test whether a function is one-one, onto or invertible. Composition and inverse functions carry the heaviest marks.
320 words, about 2 min02Inverse Trigonometric Functions
Inverse trigonometric functions test your grip on principal value branches and on the addition and substitution identities used to simplify expressions into a single principal value. sin⁻¹: [−π/2, π/2]; cos⁻¹: [0, π]; tan⁻¹: (−π/2, π/2); cot⁻¹: (0, π).
264 words, about 1 min03Matrices and Determinants
Matrices and Determinants asks for order and types of matrices, transpose and symmetry, evaluation and properties of determinants, adjoint and inverse, and the solution of a linear system by the matrix or determinant method. (AB)ᵀ = BᵀAᵀ; A is symmetric if Aᵀ = A and skew-symmetric if Aᵀ = −A, which forces every diagonal entry to be 0.
291 words, about 1 min04Continuity, Differentiability and Applications of Derivatives
This domain covers the three-part continuity test at a point, the relationship between continuity and differentiability, Rolle's and Lagrange's Mean Value Theorems, and applications to rates of change, monotonicity and maxima–minima. f is continuous at a when the left limit, right limit and f(a) all agree.
303 words, about 2 min05Integrals and Applications of Integrals
This domain tests standard antiderivatives, substitution, integration by parts, partial fractions, definite-integral properties, and the computation of area under a curve or between two curves. ∫xⁿ dx = x^(n+1)/(n+1) + C for n ≠ −1; ∫dx/x = log x + C; ∫eˣ dx = eˣ + C.
257 words, about 1 min06Differential Equations
Differential Equations asks for order and degree, formation of a differential equation from a family of curves, solution of variable-separable, homogeneous and first-order linear equations, and particular solutions fixed by an initial condition. Order is the highest derivative present; degree is the power of that derivative once the equation is polynomial in derivatives.
271 words, about 1 min07Vector Algebra and Three-Dimensional Geometry
This domain covers dot and cross products, projections, direction ratios and cosines, equations of lines and planes, angles between them, shortest distances, and coplanarity of vectors. a·b = a b cos θ = a₁b₁ + a₂b₂ + a₃b₃; the projection of a on b is (a·b)/ b .
282 words, about 1 min08Linear Programming
Linear Programming tests how you build an objective function and constraints from a word problem, solve a two-variable problem graphically, and read the optimal value correctly from the feasible region. Name the decision variables first, then write Z = ax + by and every constraint as a linear inequality, including the implicit x ≥ 0, y ≥ 0.
293 words, about 1 min09Probability
Probability covers conditional probability, independence, the multiplication theorem, the law of total probability, Bayes' theorem, and random variables with mean, variance and the binomial distribution. P(A B) = P(A∩B)/P(B) for P(B) 0; multiplication form P(A∩B) = P(A B)P(B).
243 words, about 1 min10Internal Assessment (project, practical and portfolio)
Internal Assessment rewards sustained work rather than one test: a mathematics project, the practical or activity file, and a portfolio of class work, together with a viva. Marks come from evidence you can show - planning, mathematical accuracy, neat presentation, and your ability to explain your own reasoning.
303 words, about 2 min