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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।

MathematicsThe diagonal of a square with side 1 unit is \(\sqrt{2}\) units long. A student wants to write it as a ratio of two integers. Which conclusion is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsIf \(\sqrt{3}=\frac{p}{q}\) is assumed, where \(p\) and \(q\) are coprime, which conclusion produces the contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsIf (p^2) is divisible by (3) what is the correct conclusion about (p)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsIf (a^2) is even what is the correct conclusion about (a)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsA student says, “\(\sqrt{3}=\frac{6}{\sqrt{12}}\), so \(\sqrt{3}\) is rational.” What is the error in the argument?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 MathematicsA student claims that \(\sqrt{2}\) is rational because \(1.414\) can be written as \(\frac{1414}{1000}\). What is the main error in the student's reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsA student assumes dfrac{p}{q} is in lowest terms and obtains p^2=3q^2 , where p and q are coprime. Which conclusion proves a contradiction in this assumption?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhich statement correctly describes the method used to prove that \(\sqrt{2}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsIf \(\sqrt{3}=\frac{m}{n}\) is assumed, where \(m\) and \(n\) are coprime integers, which conclusion produces the contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhile proving (\sqrt{3}) irrational which statement is assumed at the start?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsIn the proof that \(\sqrt{3}\) is irrational, if \(p^2\) is divisible by 3, which conclusion about \(p\) is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhat is common in the proofs of irrationality of (\sqrt{2}) and (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsIn the proof of (\sqrt{3}), what type of conclusion is obtained twice?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsAssuming that \(\sqrt{3}\) is irrational, which of the following numbers must be irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhy is (b\neq0) necessary in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhy are (p) and (q) taken as integers in the proof of (\sqrt{2})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhich option shows the correct order in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhich option shows the correct order in the proof of (\sqrt{2})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhich of the following correctly describes the nature of the number \(\sqrt{2}\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy