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Mathematics, written down

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

Illustration for Sum of First n Terms of an AP: Class 10 Formula and Examples Arithmetic Progressions

Sum of First n Terms of an AP: Class 10 Formula and Examples

See why the sum of an AP is n/2 times first plus last term, use both forms of the formula, find the number of terms from a sum, and recover the nth term from a formula for the sums.

9 min read Equations

Illustration for nth Term of an AP: Formula and Worked Examples, Class 10 Arithmetic Progressions

nth Term of an AP: Formula and Worked Examples, Class 10

Derive the nth term formula of an AP and use it to find any term, decide whether a number is a term, build an AP from two terms, count from the end and solve savings and multiples problems.

8 min read Equations

Illustration for What Drives Economic Development Managerial Economics

What Drives Economic Development

The economic and non-economic factors that decide how fast a country develops: capital formation, natural resources, farm surplus, trade, human resources, technology and more.

11 min read

Illustration for The Features of an Under-Developed Economy Managerial Economics

The Features of an Under-Developed Economy

The main features of an under-developed economy, from low per capita income and dependence on agriculture to low capital formation, poverty, dualism and poor infrastructure.

9 min read

Illustration for What is an Arithmetic Progression? Class 10 Maths Guide Arithmetic Progressions

What is an Arithmetic Progression? Class 10 Maths Guide

Learn what an arithmetic progression is: first term, common difference, the general form a, a + d, a + 2d, finite and infinite APs, and a sure method to test whether any list of numbers is an AP.

9 min read Equations

Illustration for Polynomials Practice Questions with Solutions, Class 10 Polynomials

Polynomials Practice Questions with Solutions, Class 10

Sixteen original Class 10 Polynomials questions with full solutions: counting zeroes from graphs, verifying zero-coefficient relationships, forming quadratics and cubic checks.

9 min read Equations

Illustration for Economic Growth and Economic Development Managerial Economics

Economic Growth and Economic Development

Economic growth is a rise in a country's output and income; development is a broader improvement in people's lives. What India's experience teaches about both.

4 min read

Illustration for Pricing Policies a Firm Can Choose Managerial Economics

Pricing Policies a Firm Can Choose

How a firm's pricing changes with the market it sells in: perfect competition, monopolistic competition, monopoly, and the main oligopoly models.

3 min read

Illustration for Relationship Between Zeroes and Coefficients, Class 10 Polynomials

Relationship Between Zeroes and Coefficients, Class 10

Sum and product of the zeroes of a quadratic, forming a quadratic from its zeroes, and the three relationships for a cubic, each proved and checked with worked examples.

9 min read Equations

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

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