Blog
Worked problems, method notes and exam strategy from the people who teach the classes.
Quadratic Equations
Step-by-step NCERT Exercise 4.1 solutions: which of eight equations are quadratic after expanding, and how to write the plot, consecutive integers, Rohan's age and train speed problems as quadratic equations, each checked.
Quadratic Equations
Learn what makes an equation quadratic, how to write it in standard form, how to test untidy equations by expanding them, and how to turn word problems about a prayer hall, marbles and toys into quadratic equations.
Managerial Economics
In the long run every cost is variable. A simple bakery example shows the difference from the short run, and how long-run total and average cost are defined.
Managerial Economics
In the short run some inputs are fixed. Here is how fixed, variable, marginal and average costs are defined, and how MC = W/MPL and AVC = W/APL link cost to productivity.
Pair of Linear Equations in Two Variables
Complete NCERT Class 10 Exercise 3.3 solutions: four pairs solved by both elimination and substitution, plus five word problems on a fraction, Nuri and Sonu's ages, a two-digit number, bank notes and library charges.
Pair of Linear Equations in Two Variables
Learn the elimination method for pairs of linear equations: why adding or subtracting equations works, the steps, worked examples on incomes and digits, and how to spot no solution or infinitely many.
Managerial Economics
Cost of production is everything a firm spends to make and deliver its product. Here are fixed, variable, total and average costs, with worked tables and cost curves.
Managerial Economics
Returns to scale describe what happens to output when all inputs are increased together in the long run: increasing, diminishing or constant returns.
Pair of Linear Equations in Two Variables
Complete NCERT Class 10 Exercise 3.2 solutions: six pairs solved by substitution, finding m for y = mx + 3, and six word problems on numbers, angles, bats and balls, taxi fares, a fraction and ages.
Pair of Linear Equations in Two Variables
Learn the substitution method for a pair of linear equations: why it works, the steps, five worked examples including Aftab's age puzzle, and how to spot one, none or infinitely many solutions.
Managerial Economics
When more and more of one input is added to a fixed input, total product first rises quickly, then slowly, and finally falls. A worked table shows the three phases.
Managerial Economics
The production function links inputs to output. Here are the four factors of production, land, labour, capital and entrepreneurship, with their features and rewards.
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