Tamil Nadu SSLC Mathematics study guide
Tamil Nadu SSLC Mathematics · Work through your exam, one topic at a time.
The Tamil Nadu SSLC Mathematics paper is the Class X public examination set by the state board for students finishing secondary schooling in Tamil Nadu. It is a school-leaving and eligibility credential rather than a competitive entrance test: results feed directly into higher secondary admission and subject-group allotment, so a solid maths mark keeps science and commerce streams open. The Tamil Nadu SSLC Mathematics study guide has 8 sections and about 1,819 words.
01Relations and Functions: Products, Relations, and Composition
This domain checks whether you can build sets of ordered pairs, classify relations, and decide when a relation is a function. You also need to compose functions and read domain and range from a rule.
255 words, about 1 min02Numbers and Sequences: Euclid, Primes, AP and GP
Euclid’s division lemma says that for positive integers a and b there exist unique integers q and r with a=bq+r and 0≤r<b. Repeated division gives HCF: divide, replace (a,b) by (b,r), stop when r=0; the last nonzero divisor is HCF.
222 words, about 1 min03Algebra: Polynomials, Matrices, and Linear Systems
A polynomial’s graph meets the x-axis at its real zeros; for y=ax²+bx+c, the parabola opens upward when a 0 and downward when a<0, with vertex x=−b/2a. The quadratic formula gives roots [−b±√(b²−4ac)]/2a; the discriminant b²−4ac decides two, one, or no real roots.
248 words, about 1 min04Geometry: Similarity, Circles, and Constructions
Two triangles are similar when corresponding angles are equal and corresponding sides are proportional; write vertices in matching order. Thales’ theorem (basic proportionality): a line parallel to one side of a triangle divides the other two sides proportionally.
314 words, about 2 min05Coordinate Geometry: Distance, Section Formula, and Lines
For points A(x₁,y₁), B(x₂,y₂), AB=√[(x₂−x₁)²+(y₂−y₁)²]. The midpoint is ((x₁+x₂)/2,(y₁+y₂)/2).
199 words, under 1 min06Trigonometry: Identities and Heights and Distances
In a right triangle, sinθ=opposite/hypotenuse, cosθ=adjacent/hypotenuse, tanθ=opposite/adjacent; cosec, sec, cot are reciprocals. The Pythagorean identity sin²θ+cos²θ=1 gives 1+tan²θ=sec²θ and 1+cot²θ=cosec²θ.
235 words, about 1 min07Mensuration: Solids and Combined Solids
Cylinder: CSA=2πrh, TSA=2πr(r+h), V=πr²h. Cone: slant height l=√(r²+h²), CSA=πrl, TSA=πr(l+r), V=⅓πr²h.
173 words, under 1 min08Statistics and Probability: Dispersion and Events
Range=maximum−minimum. For data x₁,…,xₙ with mean x̄, variance σ²=Σ(xᵢ−x̄)²/n and standard deviation σ=√variance.
173 words, under 1 min