- 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.

- 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.

- 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

- 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.

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

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

- 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.

- 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 60Â°, 90Â° and 120Â° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.)

- 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.)