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Thus every real number is either a rational number or an irrational number. In either case, it has a non�terminating decimal representation. In the case of rational numbers, the decimal representation is repeating including repeating zeroes and if the decimal representation is non�repeating, it is an irrational number. From the above discussion we may conclude that: To every real number there corresponds a unique point on the number line and conversely, to every point on the number line there corresponds a real number.
We have studied the following points: 1. Find the maximum capacity of a tanker which can measure the petrol of either tanker in exact number of times.
Each book has the same size. Mathematics and Physics books are to be packed in separate bundles and each bundle must contain the same number of books. Find the least number of bundles which can be made for these books. Prove that one of every three consecutive positive integers is divisible by 3. An army contingent of members is to march behind an army band of 48 members in a parade. The Perpendicular distance of x a point from the y-axis is called its x-coordinate or abscissa.
The perpendicular distance y of a point from the x-axis is called its y-coordinate or ordinate. The x and y taken together in order is called coordinte of point denoted by x, y. The coordinate of the points on x-axis are of the form x, 0 and the points on the y-axis are of the form 0, y.
Coordinate of origin is 0, 0. The sign of x and y-coordinates in each of the quadrant is shown below:. The distance between any two points P x 1 , y 1 and Q x 2 , y 2 in the plane is given by, Also the distance of the point P x 1 , y 1 from the origin is.
The coordinates of the point P x, y which divides the line segment joining the points A x 1 , y 1 and B x 2 , y 2 internally in the ratio m 1 : m 2 i.
The coordinates of the mid point P of the line segment joining the points A x 1 , y 1 and B x 2 , y 2 is.
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