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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 gives the correct order in the proof of irrationality of (\sqrt{2})?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 MathematicsIf (\frac{a}{b}) is in lowest form, which situation is impossible?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhich of the following statements is correct in the contradiction proof that \(\sqrt{2}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIn the proof of (\sqrt{3}), after getting (q^2=3k^2), which conclusion about (q) is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIt is known that \(\sqrt{3}\) is irrational. Which argument correctly completes a proof that \(\sqrt{12}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIn the proof that sqrt3 is irrational, if sqrt3 = p/q is assumed to be in lowest terms, why does a contradiction arise?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhich initial assumption is made to prove the irrationality of \(\sqrt{3}\) by the method of contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhich statement correctly describes the contradiction obtained while proving that \(\sqrt{2}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhich of the following decimal expansions indicates an irrational number?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIn the proof that \(\sqrt{3}\) is irrational, assume \(\sqrt{3}=\frac{p}{q}\) in lowest terms. If \(p\) is shown to be divisible by 3, which conclusion about \(q\) is needed to obtain a contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIf \(\sqrt{3}=\frac{p}{q}\) is assumed to be in lowest terms, which statement produces the contradiction in the proof of its irrationality?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhat is the correct combined conclusion of the proofs of both (\sqrt{2}) and (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsSuppose \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are coprime integers. Which conclusion produces a contradiction in the proof that \(\sqrt{3}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsWhat is the final contradiction in the proof by contradiction that \(\sqrt{3}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsA student assumes that \(\sqrt{2}=\frac{a}{b}\), where \(a\) and \(b\) are coprime integers. From \(a^2=2b^2\), the student stops after concluding that \(a\) is even. Which conclusion is necessary to complete the proof?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsIn the proof of (\sqrt{2}), after (m^2=2n^2), what contradiction is prepared by writing (m=2r)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsA student says, “The square of \(\sqrt{2}\) is \(2\), and \(2\) is rational; therefore, \(\sqrt{2}\) is also rational.” What is the main error in this reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsA student says, “\(\sqrt{3}=1.732\), so \(\sqrt{3}\) is a rational number.” What is the main error in this statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsWhich method is suitable for the proofs of (\sqrt{2}) and (\sqrt{3}) and why?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium