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Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (3\mid a) and (3\mid b), what contradiction arises with assuming (\frac{a}{b}) in lowest form?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich option gives the correct reasoning to reach (q) in the proof for (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf (a) and (b) are coprime but the proof gives (a=3m) and (b=3n), what conclusion follows?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich option shows the correct order for proving the irrationality of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich statement correctly generalizes the proof of irrationality of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf no contradiction appears while proving (\sqrt{3}) irrational by assuming it rational, which condition is probably missing?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proofs of (\sqrt{3}) and (\sqrt{5}), which prime factors appear respectively instead of (2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proof for (\sqrt{3}), if someone writes (a=3b) directly from (3\mid a^2), what is the mistake?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich option states the correct final contradiction in the proof for (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proof for (\sqrt{3}), after getting (b^2=3m^2), what conclusion about (b) is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proof for (\sqrt{3}), after putting (a=3m), into what form does (a^2=3b^2) change?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proof for (\sqrt{3}), the conclusion (3\mid a) from (3\mid a^2) is based on which principle?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhile proving the irrationality of (\sqrt{3}), what weakness occurs if (a) and (b) in (\sqrt{3}=\frac{a}{b}) are not taken coprime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf (\sqrt{3}) were rational, what inconsistency would finally appear in the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn the proof for (\sqrt{3}), after (p^2=3q^2) shows (p) divisible by (3), what is the correct path to reach (q)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn the proof for (\sqrt{3}), if (p=3r), what is the correct value of (p^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn the proof of irrationality of (\sqrt{3}), if both (p) and (q) are divisible by (3), what will be said about the fraction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (3\mid p), in which form is it proper to write (p)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich difference is correct when comparing the proofs of (\sqrt{3}) and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhy is the condition (q\neq0) necessary in the proof for (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert