# Class 10 Maths Term 2 Syllabus

#### Unit – 1: Algebra

• Standard form of a quadratic equation ax2+bx+c=0, (a â‰  0).
• Solution of the quadratic equations (only real roots) by factorization, by completing the square 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.

#### Arithmetic Progressions

• Motivation for studying Arithmetic Progression Derivation of standard results of finding the nth term
• Sum of first n terms and their application in solving daily life problems.

#### Circles

Tangent to a circle at, point of contact

• (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
• (Prove) The lengths of tangents drawn from an external point to circle are equal

#### Constructions

• Division of a line segment in a given ratio (internally).
• Tangent to a circle from a point outside it.

#### Some Applications of Trigonometry

Heights And Distances

• Angle of elevation, Angle of Depression.
• Simple problems on heights and distances.
• Problems should not involve more than two right triangles.
• Angles of elevation / depression should be only 30Â°, 45Â°, 60Â°.

#### Surface Areas And Volumes

• Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.
• Problems involving converting one type of metallic solid into another and other mixed problems

#### Statistics

• Mean, median and mode of grouped data (bimodal situation to be avoided).
• Mean by Direct Method and Assumed Mean Method only