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To represent a rational number on the number line
Mark the following rationals on the number line: ..
Real Numbers
The union of the set of rational numbers and irrational numbers forms the set of real numbers. (i) For every real number, there is a corresponding point on the number line. (ii) For every point on the number line,..
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 ..
Geometrical Representation of Complex Number
(x 1 + x 2 ) + i (y 1 + y 2 ), i.e., z 1 + z 2 . 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 s..
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 ..
Summary
>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 the denominator ar..
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..
Which number is missing on the number line?
Which number is missing on the number line? => 75 or 65 or 85 or 70..
Which of the following numbers are indicated by the number line?
Which of the following numbers are indicated by the number line? => 0.4 and 0.7 or 0.2 and 0.6 or 0.3 and 0.7 or 0.5 and 0.8..
Which of the figures can have more number of lines of symmetry?
Which of the figures can have more number of lines of symmetry? => Figure D or Figure B or Figure A or Figure C..
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