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SUBJECT: MATHEMATICS CLASS 10
CLASS 10 (Basic and Standard Mathematics)  
Chapter 11 

Important Formulas and Basic Concepts Chapterwise CBSE Syllabus 
Syllabus: Fundamental Theorem of Arithmetic  statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of 
Syllabus: Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. 
Chapter 3 Pair of Linear equations in two variables Syllabus: Pair of linear equations in two variables and graphical method of their solution, consistency/ inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically  by substitution, by elimination. Simple situational problems. 
Syllabus: Standard form of a quadratic equation ax^{2} + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorisation, and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated. 
Syllabus: Motivation for studying Arithmetic Progression Derivation of the n^{th} term and sum of the first n terms of A.P. and their application in solving daily life problems. 
Syllabus: Definitions, examples, counter examples of similar triangles. 1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side. 3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar. 4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar. 5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar. Ratio of Area of two similar Triangles 
Syllabus: Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). 
INTRODUCTION TO TRIGONOMETRY Syllabus: Trigonometric ratios of an acute angle of a
rightangled triangle. Proof of their existence (well defined); motivate the
ratios whichever are defined at 0^{o} and 90^{o}. Values of the
trigonometric ratios of 30^{0} , 45^{0} and 60^{0} .
Relationships between the ratios. TRIGONOMETRIC IDENTITIES
Periods Proof and
applications of the identity sin^{2}A + cos^{2}A = 1. Only
simple identities to be given. 
Syllabus: HEIGHTS AND DISTANCES: Angle of elevation, Angle of
Depression, Periods Simple problems on
heights and distances. Problems should not involve more than two right
triangles. Angles of elevation / depression should be only 30°, 45°, and 60°. Multiple Choice Questions on Ch9 
Syllabus: Tangent to a circle at, point of contact 1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact. 2. (Prove) The lengths of tangents drawn from an external point to a circle are equal. Multiple Choice Questions on Ch10 
Syllabus: Periods Area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only. 
Syllabus: Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Multiple Choice Questions on Ch13 
Syllabus: Mean, median and mode of grouped data (bimodal situation to be avoided). Multiple Choice Questions on Ch14 
Syllabus: Classical definition of probability. Simple problems on finding the probability of an event. 
CBSE Syllabus (Mathematics) for classes 9th, 10th,(202223) Click Here 
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