Mathematics Class 10 CBSE (English Medium) CBSE Topics and Syllabus

• Significance of the Fundamental Theorem of Arithmetic

of Squareroot of 2

• Decimal Representation of Rational Numbers in Terms of Terminating Or Non-terminating Recurring Decimals

• Graphical Method of Solving a System of Linear Equations

• Equations Reducible to Linear Equations

Pair of Linear Equations in Two Variables Examples and Solutions

• Terms and Common Difference of an A.P.

• general term of the AP

• Sum of the First 'N' Terms of an Arithmetic Progression

•  Introduction and Standard Form of a Quadratic Equation - ax² + bx + c = 0, (a ≠ 0)

• method of completing the square

• Nature of Roots Based on Discriminant
• two distinct real roots, two equal real roots, no real roots
• Solutions of Quadratic Equations by Using Quadratic Formula and Nature of Roots

• Two distinct real roots if b² – 4ac > 0

• Two equal real roots if b² – 4ac = 0

• No real roots if b² – 4ac < 0

Application of quadratic equation

Theorem - The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Theorem - The Length of Two Tangent Segments Drawn from a Point Outside the Circle Are Equal

If in a two triangles corresponding angles are equal then their corresponding sides are in same ratio hence two triangle are similar

• Similar triangles
• Criteria of Similarity
  - AA Criterion of similarity
  - SAS Criterion of similarity
  - SSS Criterion of similarity
• Construction of similar triangles

• Division of Line Segment in a Given Ratio
• Construction of a Triangle Similar to a Given Triangle
• To divide a line segment in a given ratio
• To construct a triangle similar to a given triangle as per given scale factor

• Construction of Tangent to the Circle from the Point Out Side the Circle
• To construct the tangents to a circle from a point outside it

• Problems involving Angle of Elevation
• Problems involving Angle of Depression
• Problems involving Angle of Elevation and Depression

Well Defined

• Classical Definition of Probability
• Type of Event - Impossible and Sure Or Certain
• assume that all the experiments have equally likely outcomes, impossible event, sure event or a certain event, complementary events,

Not using set notation

• Area of the Sector and Circular Segment
• Length of an Arc