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

MathematicsIf (\sqrt{3}=\frac{u}{v}) is in lowest form, why is getting (3\mid u) and (3\mid v) a decisive contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 65ExpertMathematicsIf √2 = r/s is in lowest form and finally 2 divides r and 2 divides s, which statement is the most precise contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 65ExpertMathematicsWhich option correctly distinguishes (q\neq0) and (\gcd(p,q)=1) in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16ExpertMathematicsWhich option correctly states the different roles of (b\neq0) and (\gcd(a,b)=1) in the proof of (\sqrt{2})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16ExpertMathematicsIf (\sqrt{2}) is rational and (\frac{a}{b}) is in lowest form, by which principle is both (a,b) even impossible?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16ExpertMathematicsWhat is the correct difference between the roles of (b\neq0) and (\gcd(a,b)=1) in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18HardMathematicsWhat is the correct difference between the roles of (n\neq0) and (\gcd(m,n)=1) in the proof of (\sqrt{2})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18HardMathematicsIf a and b are coprime and both are proved divisible by 3, what is the correct contradiction about gcd(a,b)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18HardMathematicsWhat problem occurs if (\gcd(m,n)=1) is not written in the proof of (\sqrt{2})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18HardMathematicsIf (\sqrt{3}=\frac{a}{b}) with (\gcd(a,b)=1), but both (a,b) are proved divisible by (3), which contradiction is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18HardMathematicsWhat is the correct difference between the roles of (v\neq0) and (\gcd(u,v)=1) in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17HardMathematicsWhat is the correct difference between the roles of (y\neq0) and (\gcd(x,y)=1) in the proof of (\sqrt{2})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17HardMathematicsIf u and v are coprime and both are proved divisible by 3, what contradiction about gcd(u,v) follows?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17HardMathematicsIf (x,y) are coprime and both are proved even, what is the correct contradiction about (\gcd(x,y))?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17HardMathematicsWhich statement is sufficient to reject the rational assumption for √3?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17HardMathematicsWhy does the proof of (\sqrt{3}) become weak without writing (\gcd(u,v)=1)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17HardMathematicsIf 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 16HardMathematicsIn 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