Skip to content

Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

RELATED QUESTIONS

Number Systems

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsA student says that if \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are coprime integers, then when \(p\) is divisible by 3, \(q\) will also be divisible by 3. What conclusion does this statement lead to?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsA student assumes that ",Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsSuppose a is an integer and 3 divides \(a^2\). Which of the following conclusions is valid in the proof that \(\sqrt{3}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhat does assuming √3 = a/b mean?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhat does assuming (\sqrt{2}) as (\frac{p}{q}) mean?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsA student claims that \(\sqrt{2}\) is rational because \(1.414=\frac{1414}{1000}\). What is the main error in the argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsRima claims that \(2+\sqrt{3}\) is a rational number. Which is the most appropriate argument to prove her claim wrong?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsIf p/q is in lowest form, what is true about p and q?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhy is the equation a² = 3b² important in the proof of √3?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsA student assumes that \(\sqrt{3}\) can be written as \(\frac{a}{b}\) in lowest terms. During the proof, it is found that 3 divides both \(a\) and \(b\). Which conclusion about the student’s assumption is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhich statement about √3 is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsA calculator displays \(\sqrt{3}\) as 1.732. Mohan concludes that \(\sqrt{3}\) is rational. What is Mohan’s error?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhat is the main purpose of the final step in the contradiction method?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsRiya says that \(\sqrt{2}\) is irrational because its decimal expansion never terminates. What is the flaw in her reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsA student says that \(5+\sqrt{3}\) may be a rational number. Which argument correctly identifies the error in this statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsA student says, “If \(\sqrt{3}\) is irrational, then \(5\sqrt{3}\) is also irrational.” Which argument correctly proves the statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhich number-theoretic fact is used decisively while proving the irrationality of \(\sqrt{3}\) by contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhich statement is mainly used in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhich statement is used most in the proof of (\sqrt{2})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsIf a number is divisible by (3), what about its square?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy