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Mathematics

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

MathematicsIf a proof assumes √3 rational and finally gets both p and q divisible by 3, with which initial condition is the contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIn the proof of √3, if a student stops after proving only p is divisible by 3, what is the error?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIf an answer writes √2 = a/b but does not mention gcd(a,b) = 1, what is the best comment?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsWhich statement is sufficient to reject the rational assumption in the proof of (√3)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIn the proof of √2, which option correctly distinguishes an ordinary rational form from the proof-ready form?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsWhich option shows the correct contrapositive-style use needed in proving √2 irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIn the proof of √2, why is assuming a and b coprime more than a formality?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIf √2 = a/b is in lowest form, what does proving that both a and b are even show?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsWhat caution is necessary while proving the irrationality of √2 and √3?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIf assuming √2 is rational gives a contradiction, which assumption is proved false?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIn the proof of √3, what does p = 3k show?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhy are p and q chosen coprime in √3 = p/q?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhich statement is used to move from p² to p in the proof of √3?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIf p/q is in lowest form, which situation creates a contradiction in the proof of √3?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhich option gives the correct final sentence in the proof of √2?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsIn the proof of (√2), if (m) is assumed odd, what problem arises from (m²=2n²)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsIf assuming √3 is rational breaks the coprime condition, which conclusion is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsIf assuming (√2) rational gives a contradiction, which conclusion is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Easy MathematicsOn what basis does the final conclusion in irrationality of (√2) come?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsWhich option gives the correct reasoning from (p²) to (p) in the proof of (√3)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium