Rajasthan BoardEnglish MediumSTD 9MATHSNumber systems1 Mark
Question
Which of the following is rational?
✓
Answer
d. $\frac{0}{4}$ Solution:
$\sqrt{3}=1.732 \ ...=$ Non-terminating and non-repeating number, hence irrational
$\pi=3.14 \ ...$ also can not be terminated to $\frac{\text{p}}{\text{q}}$ form, and is non-terminating and non-repeating in nature. Hence, irrational.
$\frac{4}{0}$ is not a rational number because this is in the form $\frac{\text{p}}{\text{q}}$ where p and q are integers but q = 0
$\frac{0}{4}$ follows the defination of rational number.
Hence, correct option is (d).
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