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.
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Worked problems, method notes and exam strategy from the people who teach the classes.
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.
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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.
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.
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.
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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.
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.
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.
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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.
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.
Maintenance management explained: breakdown, preventive, corrective, routine, predictive maintenance and TPM, a worked MTBF, MTTR and availability example, the bathtub curve and group replacement.
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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.
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.
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.
The archive
Polynomials
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.
Managerial Economics
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.
Managerial Economics
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.
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.
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