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Mathematics, written down

Worked problems, method notes and exam strategy from the people who teach the classes.

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Illustration for Zeroes of a Polynomial and Their Graphs: Class 10 Maths

Latest article Polynomials

Zeroes of a Polynomial and Their Graphs: Class 10 Maths

Learn what the zeroes of a polynomial mean on a graph: degree, linear, quadratic and cubic polynomials, and how to count zeroes from where the graph meets the x-axis.

Ravindra Reddy K 10 min read

Latest in

General

All 37 articles
Illustration for Best Intermediate Colleges for MPC in Hyderabad

Best Intermediate Colleges for MPC in Hyderabad

Hyderabad MPC junior colleges grouped into personalised, large-network and national-brand models, with a comparison table, a way to match the student to a model and checks before enrolling.

7 min read

Illustration for Online Maths Tutor in Hyderabad

Online Maths Tutor in Hyderabad

Online maths tuition for Hyderabad students from Expresswala Academy: contact details, the concept-first approach, courses by level, digital tools, a sample week and how parents can help.

6 min read

Illustration for Top Schools in Hyderabad as Per the Latest Survey

Top Schools in Hyderabad as Per the Latest Survey

Twelve Hyderabad schools grouped as international, CBSE and ICSE day schools and local favourites, with a comparison table, a guide to the city's boards and advice for relocating families.

7 min read

Latest in

Mathematics

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Latest in

Operations Managment

All 24 articles
Illustration for Make or Buy Decision in Operations Management

Make or Buy Decision in Operations Management

Make-or-buy decisions explained: cost and non-cost factors, relevant and opportunity costs, a worked break-even example, strategic and capacity considerations, and advantages and disadvantages of making and buying.

11 min read Equations

Illustration for Sequencing in Operations Management

Sequencing in Operations Management

Sequencing in operations management: FCFS, SPT, EDD and critical ratio rules compared on a worked five-job example, plus Johnson's rule for two machines with a Gantt chart, and how sequencing differs from scheduling.

12 min read Equations

Illustration for Maintenance Management in Operations Management

Maintenance Management in Operations Management

Maintenance management explained: breakdown, preventive, corrective, routine, predictive maintenance and TPM, a worked MTBF, MTTR and availability example, the bathtub curve and group replacement.

11 min read Equations

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Managerial Economics

All 38 articles
Illustration for Price and Output Under Oligopoly

Price and Output Under Oligopoly

How price and output are decided in an oligopoly: Sweezy's kinked demand curve and price rigidity, cartels and output quotas, and price leadership by a low-cost firm.

8 min read

Illustration for Price and Output Under Monopoly

Price and Output Under Monopoly

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.

5 min read

The archive

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Illustration for Price and Output Under Oligopoly Managerial Economics

Price and Output Under Oligopoly

How price and output are decided in an oligopoly: Sweezy's kinked demand curve and price rigidity, cartels and output quotas, and price leadership by a low-cost firm.

8 min read

Illustration for Price and Output Under Monopolistic Competition Managerial Economics

Price and Output Under Monopolistic Competition

How firms in monopolistic competition set price and output: short-run profit or loss where MR = MC, and why entry drives long-run economic profit to zero.

2 min read

Illustration for Angle of Depression Problems with Two Buildings, Class 10 Some Applications of Trigonometry

Angle of Depression Problems with Two Buildings, Class 10

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.

11 min read Equations

Illustration for Price and Output Under Monopoly Managerial Economics

Price and Output Under Monopoly

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.

5 min read

Illustration for Price and Output Under Perfect Competition Managerial Economics

Price and Output Under Perfect Competition

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.

5 min read

Illustration for Heights and Distances: Problems with Two Angles of Elevation Some Applications of Trigonometry

Heights and Distances: Problems with Two Angles of Elevation

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.

10 min read Equations

Illustration for NCERT Class 10 Exercise 9.1 Solutions: Heights and Distances Some Applications of Trigonometry

NCERT Class 10 Exercise 9.1 Solutions: Heights and Distances

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.

15 min read Equations

Illustration for Monopsony: A Market With One Buyer Managerial Economics

Monopsony: A Market With One Buyer

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.

2 min read

Illustration for Oligopoly Managerial Economics

Oligopoly

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.

4 min read

Illustration for Angle of Elevation and Depression: Class 10 Maths Guide Some Applications of Trigonometry

Angle of Elevation and Depression: Class 10 Maths Guide

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.

13 min read Equations

Illustration for NCERT Class 10 Exercise 6.3 Solutions: Similar Triangles Triangles

NCERT Class 10 Exercise 6.3 Solutions: Similar 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.

21 min read Equations

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