Class 10 Maths

In this self study course, you will learn Definitions, examples, counter examples of similar triangles. 1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side. 3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar. 4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar. 5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar. 6. (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other. 7. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. 8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. 9. (Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right angle. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT example. This course also has self practice assignment for students to practice that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignment can be downloaded within the course.

In this self study course, you will learn concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions.

In this self study course, you will learn trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0°, 90°. Values of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios.
Proof and applications of the identity \sin^2 A + \cos^2 A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.
For further understanding of concepts and for examination preparation, practice questions based on the above topics are discussed in the form of assignments that have questions from NCERT Textbook exercise, NCERT Examples, Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

In this self study course, 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.) For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT example. This course also has self practice assignments for students to practice that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.

In this self study course, you will learn classical definition of probability and simple problems on finding the probability of an event. For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT example. This course also has self practice assignments for students to practice that have questions from Board’s Question Bank, RD Sharma, NCERT Exemplar etc. instead of only one book. The PDF of assignments can be downloaded within the course.