Class 10 Maths Term 2 Syllabus

  • 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.
  • 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 30°, 45°, 60°.
  • 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 60°, 90° and 120° 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.)

Practise This Question

If I < x < I +1, Find [-x], where I is an integr