0 reads0 ratings0 helpful
Which statement is always true about the points corresponding to two distinct irrational numbers on the number line?संख्या रेखा पर दो भिन्न अपरिमेय संख्याओं के संगत बिंदुओं के बारे में कौन-सा कथन सदैव सत्य है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: There is always at least one point representing a rational number between them.उनके बीच कम-से-कम एक परिमेय संख्या का बिंदु अवश्य होता है
Rational numbers are dense on the number line, so a rational number lies between any two distinct real numbers, including irrationals. Since \(2<\frac{9}{4}<3\), \(\sqrt{2}<\frac{3}{2}<\sqrt{3}\). Exam tip: test “always” statements using a counterexample.परिमेय संख्याएँ संख्या रेखा पर सघन होती हैं, इसलिए किन्हीं दो अलग वास्तविक संख्याओं के बीच परिमेय संख्या मिलती है। उदाहरणतः \(2<\frac{9}{4}<3\), अतः \(\sqrt{2}<\frac{3}{2}<\sqrt{3}\)। परीक्षा में ‘सदैव’ वाले विकल्प को प्रतिवाद से जाँचें।
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
