Skip to content

Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

RELATED QUESTIONS

Hard

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

MathematicsIf a student writes (3=\frac{p}{q}) directly from (\sqrt{3}=\frac{p}{q}), what is the correct correction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich option states the final contradiction in the proof of (\sqrt{2}) most correctly?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{5}), if (p=5k) and (q=5r), how can (\frac{p}{q}) be reduced?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{3}), what is the basis for writing (q=3r) after getting (q^2=3k^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhat is the root cause of contradiction in the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{5}), which conclusion cannot be drawn immediately from (p^2=5q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{3}), if (p=3r) and (q=3s), what is definite about (\gcd(p,q))?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), why is saying (b) is even immediately after proving (a) even an incomplete reasoning?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIf (a) and (b) are coprime, which result will immediately give a contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich statement is algebraically wrong in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{3}), after putting (p=3k), which middle equation is correct from (p^2=3q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), after putting (a=2r), what correct form of (b^2) follows from (a^2=2b^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIf (\sqrt{5}=\frac{m}{n}) is in lowest form and (m^2=5n^2), what is the next aim after writing (m=5k)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsAssume (\sqrt{3}) is rational and write (\sqrt{3}=\frac{p}{q}). What is the correct reasoning about (p) from (p^2=3q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), after assuming (\sqrt{2}=\frac{a}{b}) in lowest form, (a^2=2b^2) is obtained. Which conclusion comes first according to proof order?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich option best describes the correct common structure of the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhich option is the safest way to write the final conclusion in all three proofs?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhich statement proves that just because (5) is rational, (\sqrt{5}) does not become rational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhich option gives the correct further reasoning after substituting (p=3k) in the proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIf both (p) and (q) are found even in the proof of (\sqrt{2}), which statement does it refute?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard