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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।

MathematicsWhich statement directly confirms that a sequence is an AP?Class 10Arithmetic Progressions (AP)Introduction to APs and common difference.Level 62Expert MathematicsIf \(A\cup B=A\cup C\), which additional statement is sufficient to prove \(B=C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf \(A\cup B=A\cup C\) and \(A\cap B=A\cap C\), which of the following is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf (r) is a non-zero rational number and (s) is an irrational number, what type of number is (\frac{s}{r})?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIf (\sqrt{3}) is assumed rational and written as (\sqrt{3}=\frac{p}{q}), where (p) and (q) are coprime, where does the contradiction arise?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf A⊆B, which relation between P(A) and P(B) is always true?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsWhich option correctly describes the nature of \(\frac{1}{3}+\sqrt{11}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Medium MathematicsWhich option correctly explains proof by contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert 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 MathematicsWhich part of the proof of irrationality of (\sqrt{2}) shows proof by contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich statement is not part of a sufficient argument for proving (\sqrt{2}) irrational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhile proving (\sqrt{5}) irrational, after putting (x=5m), what is needed to conclude about (y)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich option correctly explains proof by contradiction in irrationality proofs?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhat is the first assumption made while proving the irrationality of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIn the proof of irrationality of (\sqrt{5}), why does (a^2=5b^2) imply that (a) is divisible by (5)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option is an incorrect step in the proof of (\sqrt{2}) being irrational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich argument directly proves that (\sqrt{3}) cannot be rational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (\sqrt{2}) is assumed rational and written as (\sqrt{2}=\frac{p}{q}), where (p) and (q) are coprime, where does the contradiction mainly come from?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich statement is a wrong method in the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsWhich option shows a wrong idea in all three proofs?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium