 # Class 10 Maths Term 2 Syllabus

#### Unit – 2: Algebra

• Standard form of a quadratic equation ax2+bx+c=0, (a ≠ 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

• Tangents to a circle motivated by chords drawn from points coming closer and closer to the point.
• (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.
• Construction of a triangle similar to a given triangle.

#### Heights and Distances

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

#### Probability

• Classical definition of probability.
• Connection with probability as given in Class IX.
• Simple problems on single events, not using set notation.

#### Lines (In two-dimensions)

• Review the concepts of coordinate geometry done earlier including graphs of linear equations.
• Awareness of geometrical representation of quadratic polynomials.
• Distance between two points and section formula (internal). Area of a triangle.

#### Areas Related to Circles

• Motivate the area of a circle; 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. Plane figures involving triangles, simple quadrilaterals and circle should be taken.)

#### Areas Related to Circles

• Problems on finding surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.
• Frustum of a cone.
• Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids be taken.)
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