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Which of the following statements is true about two distinct rational numbers on the number line?संख्या रेखा पर दो भिन्न परिमेय संख्याओं के बीच निम्नलिखित में से कौन-सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Infinitely many rational numbers lie between them.उनके बीच अनंत परिमेय संख्याएँ होती हैं।
For distinct rational numbers a and b, their midpoint \(\frac{a+b}{2}\) is also rational and lies between them. Repeating this process gives infinitely many rational numbers. Exam tip: use the midpoint method whenever numbers between two rationals are asked.किन्हीं दो भिन्न परिमेय संख्याओं a और b के बीच उनका मध्यबिंदु \(\frac{a+b}{2}\) भी परिमेय होता है। इस प्रक्रिया को बार-बार दोहराने पर अनंत परिमेय संख्याएँ मिलती हैं। परीक्षा टिप: “बीच में” दिखे तो मध्यबिंदु विधि याद रखें।
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