Concept of Proportion
“A statement of equality of two ratios is called proportion” Four numbers a, b, c, d are said to be in proportion when the ratio first two a and b is equal to ratio of last two c and d. i.e. or a : b = c : d e.g. or 2 […]
“A statement of equality of two ratios is called proportion” Four numbers a, b, c, d are said to be in proportion when the ratio first two a and b is equal to ratio of last two c and d. i.e. or a : b = c : d e.g. or 2 […]
Suppose the price of one piece of soap is 20 Rs. If a person wants to buy one dozen pieces of soap, then he has to pay 240 Rs. If he wants to buy two dozen pieces of soap, he has to pay 480 Rs and so on. We can easily see that if the […]
Suppose that 20 men build a house in 6-days. If men are increased to 30 then they take 4-days to build the same house. If men become 40, they take 2-days to build the house. i.e. It can be seen that as the no. of men is increased, the time taken to build the house […]
“The proportion involving two or more quantities is called Compound Proportion” Rules for Solving Compound Proportions CASE-1 If quantity 1 and quantity 2 are directly related and quantity 2 and quantity 3 are also directly related. Then we use the following rule CASE-2 If quantity 1 and quantity 2 are directly related and quantity 2 […]
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Geometry is the one of the most ancient branches of mathematics, concerned with the properties of space and object – points, lines, angles, planes, surfaces and solids in space. Generalization of geometry known as “Analytic Geometry” was in vented and first used in 1637 by a French Mathematician and philosopher, Rene Descarte (1596–1650 A.D). He […]
Cartesian coordinates are defined through the use of two coordinate lines, one horizontal and the other vertical. Let their point of intersection be , to which we call the origin and the real number of both lines is represented by . The two lines are called the coordinate axes. The horizontal line is called the X–Axis and the vertical line is called the Y–Axis. A point […]
Example: Solution: We have
Evaluate (i) (ii) Solution: (i) (ii)