Example 2:
The following are examples of an infinite set. Set of all points on a line segment of 2cm. Set of all similar triangles in a plane. Set of rational numbers between the integers 1 and 2 {x : x I and x > 2} {x: x is an even number..
To represent an irrational number on the number line
To mark , an irrational number, on the number line. Let OA = AB = 1 unit and Then in rt. = 1 + 1 Cut off OP = OB = on the number line..
To mark , an irrational number, on the number line. Let OA = AB = 1 unit and Then in rt. = 1 + 1 Cut off OP = OB = on the number line..Rational and Irrational Numbers Summary
is called a surd. All surds are irrational numbers. Rational numbers and irrational numbers together form the set of real numbers. All rational and irrational numbers can be marked on the number line. Numbers with surds in t..
Irrational Numbers
) It is not possible to find the exact value of an irrational number. (iii) All rational and irrational numbers can be marked on the number line. Write two possible irrational numbers between 2 and 3. Consider the squares of 2 and 3 and 5 and 6 lie ..
) It is not possible to find the exact value of an irrational number. (iii) All rational and irrational numbers can be marked on the number line. Write two possible irrational numbers between 2 and 3. Consider the squares of 2 and 3 and 5 and 6 lie ..Summary
1. Problems involving rational numbers are simplified using 'BODMAS' rule. 2. A rational number can be represented in the decimal form. 3. When a rational number is represented as a decimal, it will be either a terminating decimal or a recurring decim..
Geometrical representation of a Complex number, Argand diagram
>The absolute values of z 1 , z 2 and z 1 + z 2 are geometrically given by We know that the sum of any two sides of a triangle is greater than the third. Hence, in D ORP, we have with the equality holding only when O, P, Q are lying in a straight line. That is why this inequality for the ..
>The absolute values of z 1 , z 2 and z 1 + z 2 are geometrically given by We know that the sum of any two sides of a triangle is greater than the third. Hence, in D ORP, we have with the equality holding only when O, P, Q are lying in a straight line. That is why this inequality for the ..Mathematical Induction Introduction
Introduction - The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical Induction is..
Introduction - The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical Induction is..Find the midpoint of the line segment with endpoints -10 and 4 on the ..
Find the midpoint of the line segment with endpoints -10 and 4 on the number line. => - 3 or 3 or 5 or 2..
Line segment
The straight path joining two points A and B is called a line segment ..
The straight path joining two points A and B is called a line segment ..Line segment
The straight path joining two points A and B is called a line segment ..
The straight path joining two points A and B is called a line segment .. Result
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