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Class 10 Mcq

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIn a proof, (p^2=5q^2), then (p=5k), then (q^2=5k^2) are obtained. This is related to the irrationality of which number?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich option is the correct final sentence of the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich statement corrects the wrong argument that (\sqrt{5}) is rational?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIf the rational assumption for (\sqrt{3}) is proved false, what is the correct final conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIn the proof of (\sqrt{5}), why is getting (q^2=5k^2) after putting (p=5k) important?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIn the proof of (\sqrt{2}), which statement is correct but an incomplete conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIf (q^2=3k^2) is obtained in the proof of (\sqrt{3}), what is the correct conclusion for (q)?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich statement is a correct middle step in the proof of irrationality of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsAfter assuming (\sqrt{2}) rational, (\sqrt{2}=\frac{p}{q}) is written. If finally both (p) and (q) are even, what is the correct conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIf (p) and (q) are coprime, which situation is impossible?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich option gives the correct final reason in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich statement correctly tells the role of factor (2) in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich option is common in the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIn the proof of (\sqrt{5}), after (p^2=5q^2), when is (q) proved divisible by (5)?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich option is the correct short proof idea for the irrationality of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIn the proof of (\sqrt{2}), both (p) and (q) are found even. Why is this called a contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich option correctly states a difference between the proofs of (\sqrt{2}) and (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich statement is wrong in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIn the proof of (\sqrt{3}), why can we not directly say (q) is divisible by (3) from (p^2=3q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIf a student stops at only (p^2=2q^2) while proving (\sqrt{2}) irrational, why is the proof incomplete?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium