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Worked problems, method notes and exam strategy from the people who teach the classes.
Triangles
Step-by-step solutions to every question of NCERT Class 10 Exercise 6.2, using the Basic Proportionality Theorem and its converse to find lengths, test for parallel lines and prove trapezium results.
Managerial Economics
A monopoly has a single seller and no close substitutes. Here is why monopolies arise, their main features, some examples, and how they differ from oligopolies.
Managerial Economics
A side-by-side comparison of perfect and imperfect competition: number of firms, market power, products, entry barriers, pricing, efficiency and examples.
Triangles
The Basic Proportionality Theorem (Thales) and its converse for Class 10: statement, full area proof, the whole-side form, and worked examples on lengths, parallel tests, trapeziums and isosceles triangles.
Triangles
Complete NCERT Class 10 Exercise 6.1 solutions: the fill-in-the-blanks on similar and congruent figures, checked examples of similar and non-similar pairs, and the square and rhombus question.
Managerial Economics
Imperfect competition covers every market that falls short of perfect competition: monopoly, duopoly, oligopoly and monopsony. Here is how each works, with its pros and cons.
Managerial Economics
Perfect competition is a theoretical market with many small sellers of an identical product. Here are its features, why it rarely exists, and the markets that come closest.
Triangles
What similar figures are, how they differ from congruent ones, and the two-part test of equal angles and proportional sides, with scale factors, worked examples on rectangles, photos and maps, and practice questions.
Quadratic Equations
Full NCERT Exercise 4.3 solutions using the discriminant: nature of roots of three equations, values of k for equal roots, and whether the mango grove, friends' ages and rectangular park situations are possible.
Managerial Economics
A market structure describes how a market is organised: how many firms there are, how easy entry is and how alike the products are. Here is why it matters.
Managerial Economics
An externality is a cost or benefit that falls on someone outside a transaction. Here are positive and negative production and consumption externalities, and how they are corrected.
Quadratic Equations
The quadratic formula, why it is true, and how the discriminant tells you whether a quadratic has two distinct, two equal or no real roots, with worked examples including the circular park pole problem.
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