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

Contradiction

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

MathematicsIf (\sqrt{5}) is assumed to be (\frac{p}{q}) where (p) and (q) are coprime, what creates the contradiction?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIf (p) and (q) are non-zero rational numbers and (p+q\sqrt{3}=0), which conclusion is correct?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 (p) and (q) are non-zero rational numbers and (p+q\sqrt{2}=0), which conclusion is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsWhich statement is correct for the set A = {x ∈ ℝ : x = x + 1}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 10Easy MathematicsWhat is the set A = {x ∈ ℕ : x is a solution of x + 2 = x}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5Easy MathematicsWhat is the correct statement about A = {x ∈ ℝ : x = x + 1}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 3Easy MathematicsIf (\sqrt{2}) is assumed rational and finally both (p,q) turn out even, which conclusion is logical?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the proof for (\sqrt{5}), both (a) and (b) are found divisible by (5). What type of result is this?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf (\sqrt{3}) were rational, what impossible situation would appear at the end of the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the proof for (\sqrt{3}), if (\frac{p}{q}) is in lowest form but (p=3m) and (q=3n) are obtained, which conclusion is most precise?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf (\sqrt{2}=\frac{p}{q}) is assumed in lowest form and (p^2=2q^2) is obtained, which sequence is most logical to reach the contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf assuming (\sqrt{3}=\frac{p}{q}) gives (p^2=3q^2), what is the main purpose of showing divisibility by (3) for both (p) and (q) in the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf (a) and (b) are coprime but the proof gives (a=3m) and (b=3n), what conclusion follows?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf (p) and (q) are coprime, what does obtaining (5\mid p) and (5\mid q) in the proof for (\sqrt{5}) indicate?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proof for (\sqrt{2}), after getting (q^2=2k^2), which conclusion helps complete the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf (p) and (q) are coprime and then (2\mid p), (2\mid q) are proved, what type of result is this?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich statement gives the correct contradiction at the end of the proof for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhy is the proof for (\sqrt{2}) not complete by only writing that (p^2) is even?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn the proof for (\sqrt{2}), after taking (\frac{p}{q}) in lowest form, both (p) and (q) turn out even. What does this disprove?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert