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

Proof By Contradiction

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf \(r\) is an irrational number and \(q\) is a rational number, which of the following statements is always true?Class 9Number SystemsIrrational numbersExpert MathematicsLet \(a\) and \(b\) be rational numbers, \(b\ne0\), and let \(m\) be a natural number that is not a perfect square. What type of number is \(a+b\sqrt{m}\)?Class 9Number SystemsIrrational numbersExpert MathematicsIf \(x\) is an irrational number and \(r\) is a non-zero rational number, which of the following statements is always true?Class 9Number SystemsIrrational numbersExpert MathematicsIf r is a non-zero irrational number and q is a non-zero rational number, which of the following statements is always true?Class 9Number SystemsIrrational numbersExpert MathematicsLet \(a\) be an irrational number and \(r\) be a non-zero rational number. Which of the following statements is always true?Class 9Number SystemsIrrational numbersHard MathematicsLet \(r\) be a rational number and \(x\) be an irrational number. Which of the following conclusions is always true?Class 9Number SystemsIrrational numbersHard MathematicsA student has written the following conclusions about irrational numbers. Which conclusion is always correct?Class 9Number SystemsIrrational numbersHard MathematicsA student claims that \(5-\sqrt{7}\) is a rational number. Which argument correctly proves that the claim is wrong?Class 9Number SystemsIrrational numbersHard MathematicsRavi claims that \(x=\frac{3+\sqrt{2}}{5}\) is rational because its denominator is 5. What is the error in Ravi’s claim?Class 9Number SystemsIrrational numbersHard MathematicsLet p and q be rational numbers with q ≠ 0. If a student claims that \(\frac{p+\sqrt{2}}{q}\) is rational, which conclusion would follow from the claim?Class 9Number SystemsIrrational numbersHard MathematicsA student says that \(4+\sqrt{3}\) is rational because 4 is rational. What is the error in the student's conclusion?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that the product of a non-zero rational number and an irrational number is always irrational. Which is the best reason why the statement is correct?Class 9Number SystemsIrrational numbersMedium