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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।

MathematicsIf (p^2=5q^2) and (5\mid p), after putting (p=5k), what will (q^2) equal?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option gives a proper final sentence for proving the irrationality of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (p) and (q) are coprime, which of the following is impossible?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich statement is correct if (n) is an odd integer?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 MathematicsIf someone writes (p^2=3q^2), therefore (p=3q), why is this wrong?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option gives the correct contradictory result after assuming (\sqrt{2}) rational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIn the proof for (\sqrt{5}), if both (a) and (b) turn out divisible by (5), what conclusion is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich statement is correct for (\sqrt{2}) but not directly correct for the usual proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (p^2=3q^2) in the proof for (\sqrt{3}), in what form should (p) be correctly written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIn which situation can (\frac{p}{q}) not be called lowest form?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 MathematicsIf (\sqrt{2}) is rational and (\sqrt{2}=\frac{p}{q}), which equation is obtained after squaring?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option correctly states the contradiction in the proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich statement is common to the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (\sqrt{3}) were rational, in which form would it be correctly written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhy is (p) considered even when (p^2) is even in the proof for (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option gives the correct order of proof for the irrationality of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf (r) is prime and (r\mid x^2), what conclusion is used in proving the irrationality of (\sqrt{r})?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