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Q.

State whether the following statement is true or false:
The reciprocal of 0 lies on the real line.

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a

True

b

False

answer is B.

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Detailed Solution

The given statement is false.
Concept- An irrational number cannot be stated using fractions, but a rational number may be expressed as the ratio of two integers with the denominator not equal to zero.
In this problem, we must determine whether or not the undefined reciprocal of zero is present on the number line.
Real Number or Real Line The term "line" refers to a representation of all real numbers as a horizontal line where each point on the line corresponds to a real number and vice versa.
Rational Number: One that can be stated as

\frac{p}{q}

where, q≠0.
Zero cannot be represented on a real line since it is the only rational number without a reciprocal because

\frac{1}{0}

is not defined.
Hence, the given statement is false.

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