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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।

MathematicsWhich option shows an invalid shortcut in the proof of √2?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Hard MathematicsWhich statement is an essential basis of the proof by contradiction that \(\sqrt{2}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Hard 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 MathematicsWhich option gives the most correct full logical chain in the proof of \(\sqrt{2}\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsWhy is the proof of \(\sqrt{2}\) valid without decimal expansion?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIn a proof by contradiction, Arjun assumes that \(\sqrt{2}=\frac{m}{n}\), where \(m\) and \(n\) are coprime. He obtains \(m^2=2n^2\) and says, “\(m\) is even, so \(\sqrt{2}\) is irrational.” What is missing from his argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsIf (a^2=2b^2) and (a=2r), why will (b) be even?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsWhile proving the irrationality of \(\sqrt{2}\), a student assumes \(\sqrt{2}=\frac{p}{q}\), where \(p\) and \(q\) are coprime. On obtaining \(p^2=2q^2\), the student immediately says that \(q\) is even. How should the teacher correct the error?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsIn the proof of \(\sqrt{2}\), what is the first conclusion after getting \(a^2=2b^2\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhich of the following statements correctly describes the main idea used in proving that \(\sqrt{2}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsIf the square of a number is not even then what type is the number?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhat is known about (a^2) from (a^2=2b^2)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsFrom (q^2=2r^2) what conclusion follows about (q)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy