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Contradiction Proof

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

MathematicsA student claims that if \(3p^2=q^2\), then \(p\) must be divisible by 3. What is the correct evaluation of the claim?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Expert MathematicsIf (p^2=3q^2) and (p=3k), what combined conclusion about (p) and (q) follows from (q^2=3k^2)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIf (a^2=2b^2) and (a=2r), what combined conclusion about (a) and (b) follows from (b^2=2r^2)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsA student believes that the statement “If the square of an integer is divisible by 3, then the integer is also divisible by 3” is false. Which statement correctly removes this misconception?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsOn what basis does the final conclusion in irrationality of (√2) come?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsWhich statement is a wrong conclusion in the proof of \(\sqrt{3}\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsFrom (b^2=2k^2) what conclusion is obtained about (b)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy