show there exists point on the number line no representing rational numbers.
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Rational numbers on a number line. A rational number is any real number that can be expressed as a simple fraction or ratio. By definition, it is any number which can be written in the form of p/q where p and q are any two integers and q not equal to zero (q ≠ 0). Rational numbers thus can be positive or negative.
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Answered by
6
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let A,B be the points on the no. line MN such that AB = 2 unit
then,
draw BX parallel to AB and
take a point C on BX such that BC = 1 unit
since BX parallel to AB
therefore ABC = 90°
i.e triangle ABC is a right triangle by Pythagoras theorem
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hope that it might help you
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