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Worked problems, method notes and exam strategy from the people who teach the classes.
Some Applications of Trigonometry
Use alternate angles to turn an angle of depression into an angle of elevation, then find the height of a building, the width of a river and the distance between two cars seen from a height.
Managerial Economics
How a monopolist decides price and output: downward-sloping AR and MR, equilibrium where MR = MC, a worked numerical example, and the zero-marginal-cost case.
Managerial Economics
Under perfect competition, price is set by the whole industry where market demand meets market supply. Here is how demand, supply and equilibrium work, with graphs.
Some Applications of Trigonometry
Solve heights and distances problems with two angles of elevation: a flagstaff on a building, a shadow that lengthens as the sun sinks, an observer walking towards a tower and a statue on a pedestal.
Some Applications of Trigonometry
Worked solutions to all 15 questions of NCERT Class 10 Exercise 9.1 on heights and distances, with exact surd answers, decimal checks and scale drawings of the elevation and depression problems.
Managerial Economics
A monopsony is a market with a single dominant buyer facing many sellers. Here are its features, why it appears mostly in factor markets, and a supermarket example.
Managerial Economics
An oligopoly is a market dominated by a few large, interdependent firms behind high entry barriers. Here are its features, why firms collude, and familiar examples.
Some Applications of Trigonometry
Learn what the line of sight, angle of elevation and angle of depression mean, why the last two are equal, and how one right triangle and one angle give the height of a tower, a ladder, a chimney or a kite.
Triangles
Step-by-step solutions to all 16 questions of NCERT Class 10 Exercise 6.3, using the AA, SSS and SAS criteria on medians, altitudes, bisectors, a trapezium, a parallelogram and a shadow problem.
Managerial Economics
Monopolistic competition has many sellers of similar but differentiated products. Here are its features and a familiar example: the restaurants in your locality.
Managerial Economics
Twelve kinds of monopoly, from pure and natural monopolies to cartels, franchises and patents, with how each arises and how governments keep them in check.
Triangles
The AA, SSS and SAS similarity criteria for triangles with proofs from the Basic Proportionality Theorem, the RHS note, and worked examples including the classic lamp-post shadow problem.
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