यदि (a) अपरिमेय है और (r) अशून्य परिमेय है, तो \(\frac{a}{r}\) कैसी संख्या होगी?
If (a) is irrational and (r) is a non-zero rational number, what type of number is \(\frac{a}{r}\)?
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Correct Answer
B. अपरिमेयIrrational
Concept
Dividing by a non-zero rational number does not remove irrationality.
Why this answer is correct
For example, \(\frac{\sqrt{2}}{5}\) is irrational.
Exam Tip
The condition \(r\neq0\) is necessary because division by zero is not possible. चरण 1: अशून्य परिमेय संख्या से भाग करने पर अपरिमेयता समाप्त नहीं होती। चरण 2: जैसे \(\frac{\sqrt{2}}{5}\) अपरिमेय है। चरण 3: यहां \(r\neq0\) शर्त जरूरी है क्योंकि शून्य से भाग संभव नहीं होता।
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