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Worked problems, method notes and exam strategy from the people who teach the classes.
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.
Quadratic Equations
Step-by-step solutions to all six questions of NCERT Class 10 Exercise 4.2: five quadratic equations solved by splitting the middle term, the marbles and toys problems, and four word problems, each answer checked.
Quadratic Equations
Solve quadratic equations by splitting the middle term: what a root is, why the zero-product rule works, a numbered method, and worked examples including a repeated surd root, the prayer hall and the marbles problem.
Managerial Economics
Why long-run average cost first falls and then rises as a firm grows: economies of scale, diseconomies of scale and the minimum efficient scale.
Managerial Economics
The long-run average cost curve is an envelope of short-run cost curves. A worked graph shows how a firm picks the plant size that gives the lowest cost for its planned output.
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